110:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000 Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Verifica si cada punto pertenece a la recta. Observa :@0.073089:0.135695:0.489811:0.135695:0.489811:0.119026:0.073089:0.119026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el ejemplo::@0.103214:0.152337:0.186949:0.152337:0.186949:0.135668:0.103214:0.135668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.177199:0.120077:0.177199:0.120077:0.160765:0.104633:0.160765:0.000000:0.000000:0.000000 y:@0.134834:0.177199:0.142307:0.177199:0.142307:0.160793:0.134834:0.160793:0.000000 = 3 – 5 :@0.142234:0.177199:0.207308:0.177199:0.207308:0.160765:0.142234:0.160765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.169918:0.177199:0.177373:0.177199:0.177373:0.160793:0.169918:0.160793:0.000000 P :@0.293976:0.177199:0.305978:0.177199:0.305978:0.160793:0.293976:0.160793:0.000000:0.000000 (4, 7) :@0.305923:0.177199:0.348535:0.177199:0.348535:0.160765:0.305923:0.160765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7 = 3(4) – 5; 7 = 7 :@0.134754:0.201153:0.267564:0.201153:0.267564:0.184719:0.134754:0.184719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sí pertenece a la recta.:@0.293976:0.201153:0.456638:0.201153:0.456638:0.184719:0.293976:0.184719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. :@0.104633:0.235768:0.121531:0.235768:0.121531:0.219334:0.104633:0.219334:0.000000:0.000000:0.000000 y:@0.134834:0.235768:0.142307:0.235768:0.142307:0.219362:0.134834:0.219362:0.000000 = –2 + 4 :@0.142234:0.235768:0.218199:0.235768:0.218199:0.219334:0.142234:0.219334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.179048:0.235768:0.186503:0.235768:0.186503:0.219362:0.179048:0.219362:0.000000 A :@0.293976:0.235768:0.307101:0.235768:0.307101:0.219362:0.293976:0.219362:0.000000:0.000000 ( ; 3):@0.307046:0.235768:0.347811:0.235768:0.347811:0.219334:0.307046:0.219334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.314936:0.227988:0.323918:0.227988:0.323918:0.211554:0.314936:0.211554:0.000000 2:@0.314936:0.243118:0.323918:0.243118:0.323918:0.226684:0.314936:0.226684:0.000000 c. :@0.104633:0.267660:0.119708:0.267660:0.119708:0.251226:0.104633:0.251226:0.000000:0.000000:0.000000 1:@0.137458:0.262345:0.146441:0.262345:0.146441:0.245911:0.137458:0.245911:0.000000 2:@0.137458:0.277475:0.146441:0.277475:0.146441:0.261041:0.137458:0.261041:0.000000 = :@0.148981:0.267656:0.179224:0.267656:0.179224:0.251222:0.148981:0.251222:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.152938:0.267656:0.160412:0.267656:0.160412:0.251250:0.152938:0.251250:0.000000 3:@0.181757:0.260558:0.190740:0.260558:0.190740:0.244124:0.181757:0.244124:0.000000 2:@0.181757:0.275688:0.190740:0.275688:0.190740:0.259255:0.181757:0.259255:0.000000 x:@0.193280:0.267659:0.200735:0.267659:0.200735:0.251253:0.193280:0.251253:0.000000 :@0.200672:0.267660:0.204703:0.267660:0.204703:0.251226:0.200672:0.251226:0.000000 B :@0.293976:0.267660:0.306052:0.267660:0.306052:0.251254:0.293976:0.251254:0.000000:0.000000 (– ; – ):@0.305996:0.267660:0.377184:0.267666:0.377184:0.251232:0.305996:0.251226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.326487:0.259664:0.335470:0.259664:0.335470:0.243230:0.326487:0.243230:0.000000 2:@0.326487:0.274795:0.335470:0.274795:0.335470:0.258361:0.326487:0.258361:0.000000 1:@0.360783:0.259664:0.369766:0.259664:0.369766:0.243230:0.360783:0.243230:0.000000 4:@0.360783:0.274795:0.369766:0.274795:0.369766:0.258361:0.360783:0.258361:0.000000 d. 3 + 5 = 2 :@0.104633:0.295023:0.217978:0.295023:0.217978:0.278589:0.104633:0.278589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.143743:0.295023:0.151198:0.295023:0.151198:0.278617:0.143743:0.278617:0.000000 y:@0.178809:0.295023:0.186282:0.295023:0.186282:0.278617:0.178809:0.278617:0.000000 C :@0.293976:0.295023:0.307119:0.295023:0.307119:0.278617:0.293976:0.278617:0.000000:0.000000 (–1,5; 1,3):@0.307064:0.295023:0.374858:0.295023:0.374858:0.278589:0.307064:0.278589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e. 5 – 9 = 0 :@0.104633:0.327809:0.216211:0.327809:0.216211:0.311375:0.104633:0.311375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.143743:0.327809:0.151198:0.327809:0.151198:0.311403:0.143743:0.311403:0.000000 y:@0.177042:0.327809:0.184515:0.327809:0.184515:0.311403:0.177042:0.311403:0.000000 D :@0.293976:0.327809:0.308739:0.327809:0.308739:0.311403:0.293976:0.311403:0.000000:0.000000 ( ; 1):@0.308684:0.327809:0.348497:0.327808:0.348497:0.311374:0.308684:0.311375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9:@0.316100:0.321858:0.325083:0.321858:0.325083:0.305424:0.316100:0.305424:0.000000 5:@0.316100:0.336988:0.325083:0.336988:0.325083:0.320555:0.316100:0.320555:0.000000 f. :@0.104633:0.362319:0.115972:0.362319:0.115972:0.345885:0.104633:0.345885:0.000000:0.000000:0.000000 y:@0.134834:0.362319:0.142307:0.362319:0.142307:0.345913:0.134834:0.345913:0.000000 = 27:@0.142234:0.362319:0.190190:0.362319:0.190190:0.345885:0.142234:0.345885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.161033:0.356255:0.166269:0.356255:0.166269:0.346674:0.161033:0.346674:0.000000 x:@0.190088:0.362319:0.197542:0.362319:0.197542:0.345913:0.190088:0.345913:0.000000 E:@0.293978:0.362319:0.302022:0.362319:0.302022:0.345913:0.293978:0.345913:0.000000 ( 2; 3):@0.305275:0.362319:0.347777:0.362319:0.347777:0.345885:0.305275:0.345885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. Determina los cortes vertical y horizontal de las :@0.073089:0.400424:0.489439:0.400424:0.489439:0.383754:0.073089:0.383754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 rectas.:@0.103214:0.417066:0.152165:0.417066:0.152165:0.400396:0.103214:0.400396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.448584:0.120077:0.448584:0.120077:0.432151:0.104633:0.432151:0.000000:0.000000:0.000000 y:@0.134834:0.448584:0.142307:0.448584:0.142307:0.432178:0.134834:0.432178:0.000000 = 9 + 3 :@0.142234:0.448584:0.209077:0.448584:0.209077:0.432151:0.142234:0.432151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.169918:0.448584:0.177373:0.448584:0.177373:0.432178:0.169918:0.432178:0.000000 d. = 2:@0.253805:0.448584:0.348231:0.448584:0.348231:0.432151:0.253805:0.432151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.310123:0.447954:0.313421:0.447954:0.313421:0.434508:0.310123:0.434508:0.000000 x:@0.313055:0.448584:0.320510:0.448584:0.320510:0.432178:0.313055:0.432178:0.000000 3:@0.348137:0.442520:0.353374:0.442520:0.353374:0.432940:0.348137:0.432940:0.000000 b. 3 + = 6 :@0.104633:0.474203:0.209077:0.474203:0.209077:0.457769:0.104633:0.457769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.143743:0.474203:0.151198:0.474203:0.151198:0.457797:0.143743:0.457797:0.000000 y:@0.169918:0.474203:0.177392:0.474203:0.177392:0.457797:0.169918:0.457797:0.000000 e.:@0.253805:0.474203:0.305253:0.474203:0.305253:0.457769:0.253805:0.457769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.305106:0.474360:0.313073:0.474360:0.313073:0.457180:0.305106:0.457180:0.000000:0.000000 y:@0.312592:0.474360:0.320405:0.474360:0.320405:0.457209:0.312592:0.457209:0.000000 = 25:@0.320328:0.474360:0.365524:0.474360:0.365524:0.457180:0.320328:0.457180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. :@0.104633:0.508390:0.119708:0.508390:0.119708:0.491957:0.104633:0.491957:0.000000:0.000000:0.000000 y:@0.134834:0.508390:0.142307:0.508390:0.142307:0.491984:0.134834:0.491984:0.000000 = :@0.142234:0.508390:0.161120:0.508390:0.161120:0.491957:0.142234:0.491957:0.000000:0.000000:0.000000 1:@0.167594:0.498515:0.176577:0.498515:0.176577:0.482081:0.167594:0.482081:0.000000 2:@0.167594:0.513645:0.176577:0.513645:0.176577:0.497211:0.167594:0.497211:0.000000 :@0.183056:0.512175:0.187087:0.512175:0.187087:0.495741:0.183056:0.495741:0.000000 + 5:@0.187014:0.508389:0.225227:0.508389:0.225227:0.491955:0.187014:0.491955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.190051:0.508389:0.197506:0.508389:0.197506:0.491983:0.190051:0.491983:0.000000 3. Obtén dos puntos y representa las siguientes :@0.073089:0.545234:0.489533:0.545234:0.489533:0.528565:0.073089:0.528565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 rectas; para ello, puedes emplear un programa que :@0.103214:0.561876:0.489855:0.561876:0.489855:0.545207:0.103214:0.545207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 grafique, como GeoGebra.:@0.103214:0.578518:0.302552:0.578518:0.302552:0.561848:0.103214:0.561848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.613611:0.120077:0.613611:0.120077:0.597177:0.104633:0.597177:0.000000:0.000000:0.000000 y:@0.134834:0.613611:0.142307:0.613611:0.142307:0.597205:0.134834:0.597205:0.000000 = 4 – 8 :@0.142234:0.613611:0.207310:0.613611:0.207310:0.597177:0.142234:0.597177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.169918:0.613611:0.177373:0.613611:0.177373:0.597205:0.169918:0.597205:0.000000 e. = :@0.293976:0.613611:0.343271:0.613611:0.343271:0.597177:0.293976:0.597177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.309715:0.613611:0.317077:0.613611:0.317077:0.596428:0.309715:0.596428:0.000000:0.000000 x:@0.317004:0.613611:0.324459:0.613611:0.324459:0.597205:0.317004:0.597205:0.000000 1:@0.345343:0.606399:0.354325:0.606399:0.354325:0.589966:0.345343:0.589966:0.000000 2:@0.345343:0.621530:0.354325:0.621530:0.354325:0.605096:0.345343:0.605096:0.000000 y:@0.357326:0.613611:0.364799:0.613611:0.364799:0.597205:0.357326:0.597205:0.000000 + 6:@0.365186:0.613611:0.392981:0.613611:0.392981:0.597177:0.365186:0.597177:0.000000:0.000000:0.000000:0.000000 b. 5 + 2 = 20 :@0.104633:0.648702:0.226887:0.648702:0.226887:0.632269:0.104633:0.632269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.143743:0.648702:0.151198:0.648702:0.151198:0.632296:0.143743:0.632296:0.000000 y:@0.178809:0.648702:0.186282:0.648702:0.186282:0.632296:0.178809:0.632296:0.000000 f. 4 – = 8:@0.293976:0.648702:0.381043:0.648702:0.381043:0.632269:0.293976:0.632269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.305242:0.648702:0.312605:0.648702:0.312605:0.631520:0.305242:0.631520:0.000000:0.000000 x y:@0.321440:0.648702:0.353321:0.648702:0.353321:0.632296:0.321440:0.632296:0.000000:0.000000:0.000000 c. :@0.104633:0.683795:0.119709:0.683795:0.119709:0.667362:0.104633:0.667362:0.000000:0.000000:0.000000 y:@0.134834:0.683795:0.142307:0.683795:0.142307:0.667389:0.134834:0.667389:0.000000 = :@0.142234:0.683795:0.161120:0.683795:0.161120:0.667362:0.142234:0.667362:0.000000:0.000000:0.000000 5:@0.165833:0.677861:0.174816:0.677861:0.174816:0.661427:0.165833:0.661427:0.000000 2:@0.165833:0.692991:0.174816:0.692991:0.174816:0.676557:0.165833:0.676557:0.000000 x :@0.179535:0.683795:0.190230:0.683795:0.190230:0.667389:0.179535:0.667389:0.000000:0.000000 g. :@0.293976:0.683795:0.310812:0.683795:0.310812:0.667362:0.293976:0.667362:0.000000:0.000000:0.000000 :@0.310727:0.683795:0.314445:0.683795:0.314445:0.666613:0.310727:0.666613:0.000000 2 = + 2:@0.314368:0.683953:0.387842:0.683953:0.387842:0.666772:0.314368:0.666772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.323682:0.683953:0.331476:0.683953:0.331476:0.666801:0.323682:0.666801:0.000000 y:@0.351047:0.683953:0.358860:0.683953:0.358860:0.666801:0.351047:0.666801:0.000000 d. :@0.104633:0.715687:0.121512:0.715687:0.121512:0.699253:0.104633:0.699253:0.000000:0.000000:0.000000 x:@0.134834:0.715687:0.142289:0.715687:0.142289:0.699281:0.134834:0.699281:0.000000 = –:@0.142215:0.715687:0.170231:0.715687:0.170231:0.699253:0.142215:0.699253:0.000000:0.000000:0.000000:0.000000 7:@0.173313:0.709370:0.182296:0.709370:0.182296:0.692936:0.173313:0.692936:0.000000 2:@0.173313:0.724500:0.182296:0.724500:0.182296:0.708066:0.173313:0.708066:0.000000 4. Determina la pendiente de las rectas mediante :@0.073089:0.752531:0.489584:0.752531:0.489584:0.735862:0.073089:0.735862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 desplazamientos verticales y horizontales.:@0.103214:0.769173:0.421146:0.769173:0.421146:0.752503:0.103214:0.752503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.793509:0.120077:0.793509:0.120077:0.777075:0.104633:0.777075:0.000000:0.000000:0.000000 :@0.134834:0.792879:0.138132:0.792879:0.138132:0.779433:0.134834:0.779433:0.000000 b. :@0.104633:0.878601:0.121531:0.878601:0.121531:0.862167:0.104633:0.862167:0.000000:0.000000:0.000000 :@0.134834:0.877970:0.138132:0.877970:0.138132:0.864524:0.134834:0.864524:0.000000 c. :@0.545774:0.158142:0.560850:0.158142:0.560850:0.141708:0.545774:0.141708:0.000000:0.000000:0.000000 :@0.575976:0.157511:0.579274:0.157511:0.579274:0.144065:0.575976:0.144065:0.000000 5. Trabaja.:@0.514231:0.239112:0.603525:0.239112:0.603525:0.222442:0.514231:0.222442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Dibuja un plano cartesiano y :@0.545774:0.263974:0.791267:0.263974:0.791267:0.247540:0.545774:0.247540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 localiza:@0.791653:0.263974:0.845439:0.263974:0.845439:0.247540:0.791653:0.247540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los puntos :@0.845439:0.263974:0.930939:0.263974:0.930939:0.247540:0.845439:0.247540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A(–3, –2) y B(1, 5).:@0.575883:0.280615:0.702157:0.280615:0.702157:0.264182:0.575883:0.264182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Dibuja la recta que une los dos puntos.:@0.545774:0.305476:0.857743:0.305476:0.857743:0.289042:0.545774:0.289042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Determina la pendiente de la recta.:@0.545774:0.330338:0.831131:0.330338:0.831131:0.313904:0.545774:0.313904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6. Encuentra la pendiente de las siguientes rectas. :@0.514231:0.361275:0.930646:0.361275:0.930646:0.344606:0.514231:0.344606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.926744:0.361275:0.930646:0.361275:0.930646:0.344606:0.926744:0.344606:0.000000 Recuerda que en la ecuación = a + o = :@0.544355:0.377917:0.874489:0.377917:0.874489:0.361248:0.544355:0.361248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.763696:0.377917:0.774409:0.377917:0.774409:0.361511:0.763696:0.361511:0.000000:0.000000 x b y mx b:@0.797271:0.377917:0.923176:0.377917:0.923176:0.361511:0.797271:0.361511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 + , :@0.896026:0.377917:0.930834:0.377917:0.930834:0.361248:0.896026:0.361248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el coeficiente de es la pendiente de la recta.:@0.544374:0.394559:0.884869:0.394559:0.884869:0.377889:0.544374:0.377889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.672120:0.394559:0.679575:0.394559:0.679575:0.378153:0.672120:0.378153:0.000000 a. :@0.545774:0.427993:0.561218:0.427993:0.561218:0.411559:0.545774:0.411559:0.000000:0.000000:0.000000 y:@0.575976:0.427993:0.583449:0.427993:0.583449:0.411587:0.575976:0.411587:0.000000 = –— + 3 :@0.583375:0.427993:0.669767:0.427993:0.669767:0.411559:0.583375:0.411559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.616508:0.419686:0.625491:0.419686:0.625491:0.403252:0.616508:0.403252:0.000000 2:@0.616508:0.433998:0.625491:0.433998:0.625491:0.417564:0.616508:0.417564:0.000000 x:@0.630627:0.427993:0.638082:0.427993:0.638082:0.411587:0.630627:0.411587:0.000000 c. 3 + = 5:@0.735113:0.427993:0.826257:0.427993:0.826257:0.411559:0.735113:0.411559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.750117:0.427362:0.756352:0.427362:0.756352:0.413916:0.750117:0.413916:0.000000:0.000000 x:@0.764887:0.427993:0.772342:0.427993:0.772342:0.411587:0.764887:0.411587:0.000000 y:@0.791063:0.427993:0.798536:0.427993:0.798536:0.411587:0.791063:0.411587:0.000000 b. :@0.545774:0.463929:0.562672:0.463929:0.562672:0.447495:0.545774:0.447495:0.000000:0.000000:0.000000 y:@0.575976:0.463929:0.583449:0.463929:0.583449:0.447523:0.575976:0.447523:0.000000 = 0,7 – 0,25 :@0.583375:0.463929:0.681422:0.463929:0.681422:0.447495:0.583375:0.447495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.623098:0.463929:0.630553:0.463929:0.630553:0.447523:0.623098:0.447523:0.000000 d. = 2/5:@0.735118:0.463929:0.808273:0.463929:0.808273:0.447495:0.735118:0.447495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.751920:0.463299:0.758155:0.463299:0.758155:0.449853:0.751920:0.449853:0.000000:0.000000 y:@0.757782:0.463929:0.765256:0.463929:0.765256:0.447523:0.757782:0.447523:0.000000 7. Halla la pendiente de la recta que pasa por dos :@0.514231:0.504535:0.930644:0.504535:0.930644:0.487865:0.514231:0.487865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 puntos.:@0.544355:0.521177:0.601642:0.521177:0.601642:0.504507:0.544355:0.504507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. (3, –7); (–4, 6) :@0.545774:0.555873:0.674382:0.555873:0.674382:0.539439:0.545774:0.539439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. ( , 0); (0, – ):@0.735125:0.555873:0.839629:0.555873:0.839629:0.539439:0.735125:0.539439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.747970:0.555242:0.754205:0.555242:0.754205:0.541796:0.747970:0.541796:0.000000:0.000000 a:@0.758637:0.555873:0.767896:0.555873:0.767896:0.539466:0.758637:0.539466:0.000000 b:@0.825566:0.555873:0.834825:0.555873:0.834825:0.539466:0.825566:0.539466:0.000000 b. (–2, 6); (9, 6) :@0.545774:0.590567:0.665252:0.590567:0.665252:0.574133:0.545774:0.574133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e. (4, 2); (0, –5):@0.735118:0.590567:0.838083:0.590567:0.838083:0.574133:0.735118:0.574133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.746902:0.589937:0.753137:0.589937:0.753137:0.576491:0.746902:0.576491:0.000000:0.000000 c. (4, 5); (–1, –5) :@0.545774:0.625263:0.674382:0.625263:0.674382:0.608829:0.545774:0.608829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f. ( , 0); (0, ):@0.735118:0.625263:0.830555:0.625263:0.830555:0.608829:0.735118:0.608829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.742429:0.624632:0.748664:0.624632:0.748664:0.611186:0.742429:0.611186:0.000000:0.000000 m:@0.753097:0.625263:0.767712:0.625263:0.767712:0.608857:0.753097:0.608857:0.000000 n:@0.816252:0.625263:0.825750:0.625263:0.825750:0.608857:0.816252:0.608857:0.000000 f(x):@0.172666:0.790071:0.190588:0.790071:0.190588:0.776648:0.172666:0.776648:0.000000:0.000000:0.000000:0.000000 x:@0.276116:0.824826:0.282216:0.824826:0.282216:0.811403:0.276116:0.811403:0.000000 2:@0.194129:0.808318:0.199845:0.808318:0.199845:0.797860:0.194129:0.797860:0.000000 4:@0.194129:0.794021:0.199845:0.794021:0.199845:0.783563:0.194129:0.783563:0.000000 2:@0.222488:0.831087:0.228204:0.831087:0.228204:0.820629:0.222488:0.820629:0.000000 –2:@0.180564:0.831087:0.192137:0.831087:0.192137:0.820629:0.180564:0.820629:0.000000:0.000000 –2:@0.187721:0.837309:0.199295:0.837309:0.199295:0.826851:0.187721:0.826851:0.000000:0.000000 –4:@0.161131:0.831087:0.172704:0.831087:0.172704:0.820629:0.161131:0.820629:0.000000:0.000000 4:@0.240562:0.831087:0.246278:0.831087:0.246278:0.820629:0.240562:0.820629:0.000000 f(x):@0.175522:0.875292:0.193444:0.875292:0.193444:0.861869:0.175522:0.861869:0.000000:0.000000:0.000000:0.000000 x:@0.284726:0.910047:0.290825:0.910047:0.290825:0.896624:0.284726:0.896624:0.000000 2:@0.199748:0.890899:0.205464:0.890899:0.205464:0.880441:0.199748:0.880441:0.000000 4:@0.198096:0.879241:0.203813:0.879241:0.203813:0.868783:0.198096:0.868783:0.000000 2:@0.228493:0.916307:0.234210:0.916307:0.234210:0.905849:0.228493:0.905849:0.000000 –2:@0.183700:0.916307:0.195273:0.916307:0.195273:0.905849:0.183700:0.905849:0.000000:0.000000 –2:@0.190447:0.922529:0.202020:0.922529:0.202020:0.912071:0.190447:0.912071:0.000000:0.000000 –4:@0.162721:0.916307:0.174294:0.916307:0.174294:0.905849:0.162721:0.905849:0.000000:0.000000 4:@0.247622:0.916307:0.253338:0.916307:0.253338:0.905849:0.247622:0.905849:0.000000 f(x):@0.614524:0.153523:0.632446:0.153523:0.632446:0.140100:0.614524:0.140100:0.000000:0.000000:0.000000:0.000000 x:@0.723727:0.188278:0.729827:0.188278:0.729827:0.174855:0.723727:0.174855:0.000000 1:@0.637099:0.171771:0.642816:0.171771:0.642816:0.161314:0.637099:0.161314:0.000000 2:@0.637099:0.157475:0.642816:0.157475:0.642816:0.147017:0.637099:0.147017:0.000000 1:@0.668258:0.194541:0.673974:0.194541:0.673974:0.184083:0.668258:0.184083:0.000000 –1:@0.622223:0.194541:0.633796:0.194541:0.633796:0.184083:0.622223:0.184083:0.000000:0.000000 –1:@0.629439:0.200762:0.641012:0.200762:0.641012:0.190304:0.629439:0.190304:0.000000:0.000000 –2:@0.601958:0.194541:0.613531:0.194541:0.613531:0.184083:0.601958:0.184083:0.000000:0.000000 2:@0.688558:0.194541:0.694274:0.194541:0.694274:0.184083:0.688558:0.184083:0.000000 8. Determina la respuesta correcta.:@0.514231:0.661357:0.789731:0.661357:0.789731:0.644687:0.514231:0.644687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. La recta = 0,4 se inclina a la derecha porque::@0.545774:0.686218:0.899984:0.686218:0.899984:0.669785:0.545774:0.669785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.634179:0.686218:0.641653:0.686218:0.641653:0.669812:0.634179:0.669812:0.000000 x:@0.679240:0.686218:0.686695:0.686218:0.686695:0.669812:0.679240:0.669812:0.000000 i.:@0.583099:0.711084:0.590149:0.711084:0.590149:0.694650:0.583099:0.694650:0.000000:0.000000 :@0.590152:0.711079:0.597773:0.711079:0.597773:0.694132:0.590152:0.694132:0.000000:0.000000 Corresponde a una función afín.:@0.616307:0.711079:0.850577:0.711079:0.850577:0.694645:0.616307:0.694645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ii.:@0.583101:0.731299:0.593998:0.731299:0.593998:0.714865:0.583101:0.714865:0.000000:0.000000:0.000000 :@0.594000:0.731295:0.601620:0.731295:0.601620:0.714348:0.594000:0.714348:0.000000:0.000000 Su pendiente es positiva.:@0.616307:0.731295:0.798705:0.731295:0.798705:0.714861:0.616307:0.714861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 iii.:@0.583101:0.751515:0.597845:0.751515:0.597845:0.735081:0.583101:0.735081:0.000000:0.000000:0.000000:0.000000 :@0.597847:0.751511:0.605467:0.751511:0.605467:0.734564:0.597847:0.734564:0.000000:0.000000 Porque es monótona decreciente.:@0.616307:0.751511:0.864454:0.751511:0.864454:0.735077:0.616307:0.735077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Cuando la recta correspondiente a una función :@0.545774:0.779335:0.930739:0.779335:0.930739:0.762901:0.545774:0.762901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lineal es perpendicular al eje “ ”, entonces::@0.575902:0.795976:0.877131:0.795976:0.877131:0.779543:0.575902:0.779543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.789039:0.795976:0.796494:0.795976:0.796494:0.779570:0.789039:0.779570:0.000000 i.:@0.583118:0.820842:0.590168:0.820842:0.590168:0.804408:0.583118:0.804408:0.000000:0.000000 :@0.590152:0.820838:0.597773:0.820838:0.597773:0.803891:0.590152:0.803891:0.000000:0.000000 Su pendiente es = 1 y la función es cre-:@0.616307:0.820838:0.926911:0.820838:0.926911:0.804404:0.616307:0.804404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.740059:0.820838:0.754675:0.820838:0.754675:0.804432:0.740059:0.804432:0.000000 ciente.:@0.616307:0.837480:0.664682:0.837480:0.664682:0.821046:0.616307:0.821046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ii.:@0.583101:0.857700:0.593998:0.857700:0.593998:0.841266:0.583101:0.841266:0.000000:0.000000:0.000000 :@0.594000:0.857695:0.601620:0.857695:0.601620:0.840748:0.594000:0.840748:0.000000:0.000000 Su pendiente no está definida.:@0.616307:0.857695:0.839495:0.857695:0.839495:0.841261:0.616307:0.841261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 iii.:@0.583101:0.877915:0.597845:0.877915:0.597845:0.861481:0.583101:0.861481:0.000000:0.000000:0.000000:0.000000 :@0.597847:0.877911:0.605467:0.877911:0.605467:0.860964:0.597847:0.860964:0.000000:0.000000 Su pendiente es negativa y la función es :@0.616307:0.877911:0.930961:0.877911:0.930961:0.861477:0.616307:0.861477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 decreciente.:@0.616326:0.894553:0.706004:0.894553:0.706004:0.878119:0.616326:0.878119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000