﻿180:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Función lineal:@0.073089:0.043661:0.198071:0.043661:0.198071:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.386236:0.187141:0.386236:0.187141:0.369289:0.078581:0.369289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.402877:0.176057:0.402877:0.176057:0.385930:0.078581:0.385930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.293660:0.136836:0.370032:0.136836:0.370032:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para cada ecuación de la recta, identifica la pendiente y el intercepto con el eje  .:@0.293660:0.156800:0.881091:0.156800:0.881091:0.141087:0.293660:0.141087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.870488:0.156800:0.877962:0.156800:0.877962:0.140394:0.870488:0.140394:0.000000
Ecuación:@0.365417:0.186917:0.434017:0.186917:0.434017:0.170247:0.365417:0.170247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pendiente:@0.572093:0.186917:0.649520:0.186917:0.649520:0.170247:0.572093:0.170247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Intercepto:@0.782396:0.186917:0.861391:0.186917:0.861391:0.170247:0.782396:0.170247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.368435:0.207664:0.375909:0.207664:0.375909:0.191258:0.368435:0.191258:0.000000
=:@0.376940:0.208246:0.392273:0.208246:0.392273:0.190592:0.376940:0.190592:0.000000
5:@0.393285:0.207664:0.402268:0.207664:0.402268:0.191951:0.393285:0.191951:0.000000
x:@0.403299:0.207664:0.410754:0.207664:0.410754:0.191258:0.403299:0.191258:0.000000
–:@0.411784:0.208246:0.420988:0.208246:0.420988:0.190592:0.411784:0.190592:0.000000
3:@0.422001:0.207664:0.430983:0.207664:0.430983:0.191951:0.422001:0.191951:0.000000
m:@0.590298:0.207664:0.604913:0.207664:0.604913:0.191258:0.590298:0.191258:0.000000
=:@0.605944:0.208246:0.621277:0.208246:0.621277:0.190592:0.605944:0.190592:0.000000
5:@0.622290:0.207664:0.631273:0.207664:0.631273:0.191951:0.622290:0.191951:0.000000
p:@0.795428:0.204474:0.804687:0.204474:0.804687:0.188068:0.795428:0.188068:0.000000
(0,  3):@0.804614:0.204474:0.848294:0.204474:0.848294:0.188761:0.804614:0.188761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.825395:0.205056:0.834599:0.205056:0.834599:0.187402:0.825395:0.187402:0.000000
y x:@0.370350:0.228424:0.402654:0.228424:0.402654:0.212018:0.370350:0.212018:0.000000:0.000000:0.000000
= +:@0.378854:0.229007:0.419019:0.229007:0.419019:0.211353:0.378854:0.211353:0.000000:0.000000:0.000000
1:@0.420031:0.228424:0.429014:0.228424:0.429014:0.212712:0.420031:0.212712:0.000000
m:@0.590261:0.228424:0.604877:0.228424:0.604877:0.212018:0.590261:0.212018:0.000000
=:@0.605907:0.229007:0.621241:0.229007:0.621241:0.211353:0.605907:0.211353:0.000000
1:@0.622253:0.228424:0.631236:0.228424:0.631236:0.212712:0.622253:0.212712:0.000000
p:@0.799957:0.222031:0.809216:0.222031:0.809216:0.205625:0.799957:0.205625:0.000000
(0, 1):@0.809142:0.222031:0.843692:0.222031:0.843692:0.206318:0.809142:0.206318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.363760:0.254344:0.371233:0.254344:0.371233:0.237938:0.363760:0.237938:0.000000
=:@0.372264:0.254926:0.387597:0.254926:0.387597:0.237272:0.372264:0.237272:0.000000
4:@0.393697:0.245563:0.401863:0.245563:0.401863:0.231279:0.393697:0.231279:0.000000
3:@0.393697:0.261965:0.401863:0.261965:0.401863:0.247681:0.393697:0.247681:0.000000
x:@0.407897:0.254329:0.415352:0.254329:0.415352:0.237923:0.407897:0.237923:0.000000
–:@0.416383:0.254911:0.425587:0.254911:0.425587:0.237257:0.416383:0.237257:0.000000
6:@0.426599:0.254329:0.435582:0.254329:0.435582:0.238616:0.426599:0.238616:0.000000
m:@0.585674:0.254329:0.600290:0.254329:0.600290:0.237923:0.585674:0.237923:0.000000
=:@0.601321:0.254911:0.616654:0.254911:0.616654:0.237257:0.601321:0.237257:0.000000
4:@0.622705:0.245563:0.630871:0.245563:0.630871:0.231279:0.622705:0.231279:0.000000
3:@0.622705:0.261965:0.630871:0.261965:0.630871:0.247681:0.622705:0.247681:0.000000
p:@0.795444:0.252747:0.804702:0.252747:0.804702:0.236341:0.795444:0.236341:0.000000
(0,  6):@0.804629:0.252747:0.848309:0.252747:0.848309:0.237034:0.804629:0.237034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.825411:0.253329:0.834614:0.253329:0.834614:0.235675:0.825411:0.235675:0.000000
y:@0.365266:0.282230:0.372739:0.282230:0.372739:0.265824:0.365266:0.265824:0.000000
=– +:@0.373770:0.282813:0.424151:0.282813:0.424151:0.265159:0.373770:0.265159:0.000000:0.000000:0.000000:0.000000
x:@0.400332:0.282230:0.407787:0.282230:0.407787:0.265824:0.400332:0.265824:0.000000
3:@0.425163:0.282230:0.434146:0.282230:0.434146:0.266518:0.425163:0.266518:0.000000
m:@0.585177:0.282230:0.599793:0.282230:0.599793:0.265824:0.585177:0.265824:0.000000
=–:@0.600824:0.282813:0.626373:0.282813:0.626373:0.265159:0.600824:0.265159:0.000000:0.000000
1:@0.627385:0.282230:0.636368:0.282230:0.636368:0.266518:0.627385:0.266518:0.000000
p:@0.799972:0.275837:0.809231:0.275837:0.809231:0.259431:0.799972:0.259431:0.000000
(0, 3):@0.809157:0.275837:0.843707:0.275837:0.843707:0.260124:0.809157:0.260124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.355602:0.308150:0.363076:0.308150:0.363076:0.291744:0.355602:0.291744:0.000000
=–:@0.364106:0.308732:0.389656:0.308732:0.389656:0.291078:0.364106:0.291078:0.000000:0.000000
7:@0.395740:0.299370:0.403906:0.299370:0.403906:0.285086:0.395740:0.285086:0.000000
4:@0.395740:0.315773:0.403906:0.315773:0.403906:0.301488:0.395740:0.301488:0.000000
x:@0.409940:0.308137:0.417395:0.308137:0.417395:0.291731:0.409940:0.291731:0.000000
+:@0.418426:0.308720:0.433759:0.308720:0.433759:0.291066:0.418426:0.291066:0.000000
2:@0.434772:0.308137:0.443755:0.308137:0.443755:0.292425:0.434772:0.292425:0.000000
m:@0.580576:0.308137:0.595191:0.308137:0.595191:0.291731:0.580576:0.291731:0.000000
=–:@0.596222:0.308720:0.621771:0.308720:0.621771:0.291066:0.596222:0.291066:0.000000:0.000000
7:@0.627812:0.299370:0.635978:0.299370:0.635978:0.285086:0.627812:0.285086:0.000000
4:@0.627812:0.315773:0.635978:0.315773:0.635978:0.301488:0.627812:0.301488:0.000000
p:@0.799998:0.303352:0.809257:0.303352:0.809257:0.286946:0.799998:0.286946:0.000000
(0, 2):@0.809184:0.303352:0.843734:0.303352:0.843734:0.287639:0.809184:0.287639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.351027:0.341198:0.358501:0.341198:0.358501:0.324792:0.351027:0.324792:0.000000
=–:@0.359531:0.341780:0.385081:0.341780:0.385081:0.324126:0.359531:0.324126:0.000000:0.000000
8:@0.391127:0.332427:0.399293:0.332427:0.399293:0.318143:0.391127:0.318143:0.000000
3:@0.391127:0.348829:0.399293:0.348829:0.399293:0.334545:0.391127:0.334545:0.000000
x:@0.405327:0.341193:0.412782:0.341193:0.412782:0.324787:0.405327:0.324787:0.000000
+:@0.413813:0.341775:0.429146:0.341775:0.429146:0.324121:0.413813:0.324121:0.000000
1:@0.435188:0.332427:0.443355:0.332427:0.443355:0.318143:0.435188:0.318143:0.000000
4:@0.435188:0.348829:0.443355:0.348829:0.443355:0.334545:0.435188:0.334545:0.000000
m:@0.580574:0.341193:0.595189:0.341193:0.595189:0.324787:0.580574:0.324787:0.000000
=–:@0.596220:0.341775:0.621769:0.341775:0.621769:0.324121:0.596220:0.324121:0.000000:0.000000
8:@0.627812:0.332427:0.635978:0.332427:0.635978:0.318143:0.627812:0.318143:0.000000
3:@0.627812:0.348829:0.635978:0.348829:0.635978:0.334545:0.627812:0.334545:0.000000
p:@0.794838:0.341193:0.804097:0.341193:0.804097:0.324787:0.794838:0.324787:0.000000
(0, :@0.804023:0.341193:0.824897:0.341193:0.824897:0.325480:0.804023:0.325480:0.000000:0.000000:0.000000:0.000000
1:@0.829825:0.332427:0.837991:0.332427:0.837991:0.318143:0.829825:0.318143:0.000000
4:@0.829825:0.348829:0.837991:0.348829:0.837991:0.334545:0.829825:0.334545:0.000000
):@0.844027:0.341193:0.848905:0.341193:0.848905:0.325480:0.844027:0.325480:0.000000
6.2 Ecuación de la recta dados un punto y la pendiente:@0.293668:0.381757:0.721308:0.381757:0.721308:0.364810:0.293668:0.364810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sabemos que la pendiente de una recta está dada por la expresión :@0.293668:0.409119:0.781359:0.409119:0.781359:0.393407:0.293668:0.393407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.780853:0.409119:0.795469:0.409119:0.795469:0.392713:0.780853:0.392713:0.000000
=:@0.796499:0.409702:0.811833:0.409702:0.811833:0.392048:0.796499:0.392048:0.000000
y y:@0.821081:0.398426:0.851132:0.398426:0.851132:0.383511:0.821081:0.383511:0.000000:0.000000:0.000000
2:@0.828819:0.401310:0.833580:0.401310:0.833580:0.392982:0.828819:0.392982:0.000000
–:@0.834122:0.399323:0.843326:0.399323:0.843326:0.381669:0.834122:0.381669:0.000000
1:@0.852076:0.401310:0.856837:0.401310:0.856837:0.392982:0.852076:0.392982:0.000000
x x:@0.821098:0.414268:0.851115:0.414268:0.851115:0.399354:0.821098:0.399354:0.000000:0.000000:0.000000
2:@0.828819:0.417152:0.833580:0.417152:0.833580:0.408824:0.828819:0.408824:0.000000
–:@0.834122:0.415166:0.843326:0.415166:0.843326:0.397512:0.834122:0.397512:0.000000
1:@0.852059:0.417152:0.856820:0.417152:0.856820:0.408824:0.852059:0.408824:0.000000
 :@0.865070:0.409706:0.869672:0.409706:0.869672:0.392051:0.865070:0.392051:0.000000
Supongamos que tenemos la recta que pasa por el punto  ( , ) y por el punto :@0.293653:0.436485:0.930997:0.436485:0.930997:0.420772:0.293653:0.420772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x y:@0.754461:0.436485:0.800350:0.436485:0.800350:0.420079:0.754461:0.420079:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.784741:0.437068:0.789342:0.437068:0.789342:0.419413:0.784741:0.419413:0.000000
 :@0.926937:0.436485:0.930968:0.436485:0.930968:0.420772:0.926937:0.420772:0.000000
p x y:@0.293690:0.453127:0.340935:0.453128:0.340935:0.436722:0.293690:0.436721:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ):@0.303980:0.453127:0.352691:0.453128:0.352691:0.437415:0.303980:0.437414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.318351:0.456301:0.323588:0.456301:0.323588:0.447140:0.318351:0.447140:0.000000
1:@0.341979:0.456301:0.347216:0.456301:0.347216:0.447140:0.341979:0.447140:0.000000
Al hallar la pendiente, obtenemos: :@0.293658:0.480490:0.563529:0.480490:0.563529:0.464777:0.293658:0.464777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.566491:0.480490:0.581106:0.480490:0.581106:0.464084:0.566491:0.464084:0.000000
=:@0.582413:0.481073:0.597746:0.481073:0.597746:0.463418:0.582413:0.463418:0.000000
y y:@0.603578:0.469841:0.628326:0.469841:0.628326:0.454926:0.603578:0.454926:0.000000:0.000000:0.000000
–:@0.611314:0.470738:0.620518:0.470738:0.620518:0.453084:0.611314:0.453084:0.000000
1:@0.629270:0.472725:0.634030:0.472725:0.634030:0.464397:0.629270:0.464397:0.000000
x x:@0.603595:0.485684:0.628309:0.485684:0.628309:0.470770:0.603595:0.470770:0.000000:0.000000:0.000000
–:@0.611314:0.486582:0.620518:0.486582:0.620518:0.468928:0.611314:0.468928:0.000000
1:@0.629251:0.488568:0.634012:0.488568:0.634012:0.480241:0.629251:0.480241:0.000000
 :@0.639870:0.481074:0.644472:0.481074:0.644472:0.463420:0.639870:0.463420:0.000000
Al multiplicar los dos términos de la :@0.647675:0.480491:0.930928:0.480491:0.930928:0.464779:0.647675:0.464779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación por (:@0.293648:0.497133:0.397907:0.497133:0.397907:0.481421:0.293648:0.481421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.398938:0.497133:0.425095:0.497133:0.425095:0.480727:0.398938:0.480727:0.000000:0.000000:0.000000
–:@0.407424:0.497716:0.416627:0.497716:0.416627:0.480061:0.407424:0.480061:0.000000
1:@0.426145:0.500306:0.431382:0.500306:0.431382:0.491145:0.426145:0.491145:0.000000
), obtenemos:@0.431979:0.497133:0.529364:0.497133:0.529364:0.481421:0.431979:0.481421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.293667:0.524495:0.298545:0.524495:0.298545:0.508782:0.293667:0.508782:0.000000
y y:@0.299576:0.524495:0.325769:0.524495:0.325769:0.508089:0.299576:0.508089:0.000000:0.000000:0.000000
–:@0.308080:0.525078:0.317283:0.525078:0.317283:0.507423:0.308080:0.507423:0.000000
1:@0.326800:0.527669:0.332037:0.527669:0.332037:0.518508:0.326800:0.518508:0.000000
):@0.332633:0.524496:0.337511:0.524496:0.337511:0.508784:0.332633:0.508784:0.000000
=:@0.338542:0.525079:0.353875:0.525079:0.353875:0.507425:0.338542:0.507425:0.000000
m x x:@0.354888:0.524496:0.402599:0.524496:0.402599:0.508090:0.354888:0.508090:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.370534:0.524496:0.375412:0.524496:0.375412:0.508784:0.370534:0.508784:0.000000
–:@0.384928:0.525079:0.394132:0.525079:0.394132:0.507425:0.384928:0.507425:0.000000
1:@0.403638:0.527669:0.408875:0.527669:0.408875:0.518508:0.403638:0.518508:0.000000
):@0.409474:0.524496:0.414351:0.524496:0.414351:0.508784:0.409474:0.508784:0.000000
p x y:@0.602895:0.708105:0.651412:0.708105:0.651412:0.691699:0.602895:0.691699:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.613185:0.708590:0.619315:0.708590:0.619315:0.690936:0.613185:0.690936:0.000000
1:@0.628826:0.711229:0.634063:0.711229:0.634063:0.702069:0.628826:0.702069:0.000000
, :@0.634661:0.708105:0.642926:0.708105:0.642926:0.692392:0.634661:0.692392:0.000000:0.000000
1:@0.652454:0.711229:0.657691:0.711229:0.657691:0.702069:0.652454:0.702069:0.000000
):@0.658288:0.708592:0.664417:0.708592:0.664417:0.690937:0.658288:0.690937:0.000000
p x y:@0.652177:0.657252:0.694845:0.657252:0.694845:0.640846:0.652177:0.640846:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.662466:0.657737:0.668596:0.657737:0.668596:0.640083:0.662466:0.640083:0.000000
, :@0.678094:0.657252:0.686359:0.657252:0.686359:0.641539:0.678094:0.641539:0.000000:0.000000
):@0.695875:0.657737:0.702005:0.657737:0.702005:0.640083:0.695875:0.640083:0.000000
La ecuación de la recta que tiene pendiente m y pasa por el punto  ( ,  ) está :@0.306493:0.800384:0.921312:0.800384:0.921312:0.784671:0.306493:0.784671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x y:@0.819483:0.800384:0.868823:0.800384:0.868823:0.783978:0.819483:0.783978:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.844388:0.803556:0.849625:0.803556:0.849625:0.794396:0.844388:0.794396:0.000000
1:@0.869918:0.803556:0.875154:0.803556:0.875154:0.794396:0.869918:0.794396:0.000000
dada por :@0.303150:0.817026:0.373337:0.817026:0.373337:0.801313:0.303150:0.801313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.549862:0.837246:0.554740:0.837246:0.554740:0.821533:0.549862:0.821533:0.000000
y y:@0.555771:0.837246:0.581965:0.837246:0.581965:0.820840:0.555771:0.820840:0.000000:0.000000:0.000000
–:@0.564275:0.837828:0.573479:0.837828:0.573479:0.820174:0.564275:0.820174:0.000000
1:@0.583009:0.840414:0.588246:0.840414:0.588246:0.831254:0.583009:0.831254:0.000000
):@0.588842:0.837242:0.593720:0.837242:0.593720:0.821529:0.588842:0.821529:0.000000
=:@0.594751:0.837824:0.610084:0.837824:0.610084:0.820170:0.594751:0.820170:0.000000
m x x:@0.611097:0.837242:0.658808:0.837242:0.658808:0.820836:0.611097:0.820836:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.626743:0.837242:0.631621:0.837242:0.631621:0.821529:0.626743:0.821529:0.000000
–:@0.641137:0.837824:0.650341:0.837824:0.650341:0.820170:0.641137:0.820170:0.000000
1:@0.659847:0.840414:0.665084:0.840414:0.665084:0.831254:0.659847:0.831254:0.000000
):@0.665681:0.837242:0.670559:0.837242:0.670559:0.821529:0.665681:0.821529:0.000000
Otra manera de hallar la ecuación, es utilizar la forma :@0.303150:0.861026:0.689700:0.861026:0.689700:0.845313:0.303150:0.845313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mx b:@0.689463:0.861026:0.764454:0.861026:0.764454:0.844620:0.689463:0.844620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.698041:0.861608:0.713374:0.861608:0.713374:0.843954:0.698041:0.843954:0.000000
+:@0.738758:0.861608:0.754091:0.861608:0.754091:0.843954:0.738758:0.843954:0.000000
. Se remplaza el valor :@0.765559:0.861026:0.921284:0.861026:0.921284:0.845313:0.765559:0.845313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la pendiente y las coordenadas del Punto ( ,  ); luego se halla el valor de  . :@0.303150:0.877668:0.872113:0.877668:0.872113:0.861955:0.303150:0.861955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.636997:0.877668:0.659159:0.877668:0.659159:0.861262:0.636997:0.861262:0.000000:0.000000:0.000000
b:@0.855620:0.877668:0.864879:0.877668:0.864879:0.861262:0.855620:0.861262:0.000000
¿Cómo funciona esta :@0.080232:0.423323:0.228273:0.423323:0.228273:0.408169:0.080232:0.408169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fórmula?:@0.080232:0.438452:0.141136:0.438452:0.141136:0.423298:0.080232:0.423298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Restar las :@0.080232:0.453581:0.178711:0.453581:0.178711:0.438427:0.080232:0.438427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coordenadas  ::@0.110357:0.468710:0.214207:0.468710:0.214207:0.453556:0.110357:0.453556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.203431:0.468710:0.210810:0.468710:0.210810:0.453543:0.203431:0.453543:0.000000
 :@0.214141:0.468710:0.217806:0.468710:0.217806:0.454425:0.214141:0.454425:0.000000
y −y:@0.110353:0.483839:0.139630:0.483839:0.139630:0.469554:0.110353:0.469554:0.000000:0.000000:0.000000:0.000000
2:@0.117642:0.486723:0.122403:0.486723:0.122403:0.478395:0.117642:0.478395:0.000000
1:@0.139550:0.486723:0.144310:0.486723:0.144310:0.478395:0.139550:0.478395:0.000000
mide el cambio :@0.110353:0.498968:0.216964:0.498968:0.216964:0.484683:0.110353:0.484683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vertical entre los dos :@0.110353:0.514097:0.249860:0.514097:0.249860:0.499812:0.110353:0.499812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos.:@0.110353:0.529225:0.159972:0.529225:0.159972:0.514941:0.110353:0.514941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Restar las :@0.080232:0.552574:0.178711:0.552574:0.178711:0.537420:0.080232:0.537420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coordenadas x::@0.110357:0.567703:0.214617:0.567703:0.214617:0.552549:0.110357:0.552549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x −x:@0.110357:0.582832:0.139262:0.582832:0.139262:0.568548:0.110357:0.568548:0.000000:0.000000:0.000000:0.000000
2:@0.117458:0.585716:0.122219:0.585716:0.122219:0.577389:0.117458:0.577389:0.000000
1:@0.139181:0.585716:0.143942:0.585716:0.143942:0.577389:0.139181:0.577389:0.000000
mide el cambio :@0.110353:0.597961:0.216964:0.597961:0.216964:0.583677:0.110353:0.583677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
horizontal entre los :@0.110353:0.613090:0.241095:0.613090:0.241095:0.598806:0.110353:0.598806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos puntos.:@0.110353:0.628219:0.187616:0.628219:0.187616:0.613935:0.110353:0.613935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Dividir el cambio :@0.080232:0.651568:0.230322:0.651568:0.230322:0.636414:0.080232:0.636414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vertical por el :@0.110357:0.666697:0.207674:0.666697:0.207674:0.651543:0.110357:0.651543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambio horizontal::@0.110357:0.681826:0.239298:0.681826:0.239298:0.666672:0.110357:0.666672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esto nos dice cuánto :@0.110357:0.696955:0.250925:0.696955:0.250925:0.682671:0.110357:0.682671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sube o baja la recta :@0.110357:0.712084:0.241219:0.712084:0.241219:0.697800:0.110357:0.697800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por cada paso que se :@0.110357:0.727213:0.254653:0.727213:0.254653:0.712929:0.110357:0.712929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mueve a la derecha.:@0.110357:0.742342:0.242235:0.742342:0.242235:0.728058:0.110357:0.728058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 10 (Ev. 2) Relaciona características algebraicas de las funciones, sus gráficas y procesos de aproximación sucesiva.:@0.296875:0.972921:0.914443:0.972921:0.914443:0.961493:0.296875:0.961493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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