﻿183:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.597716:0.043660:0.920912:0.043660:0.920912:0.024915:0.597716:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 6:@0.073089:0.136836:0.149461:0.136836:0.149461:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la ecuación de la recta que pasa por los puntos  ( 2, 9) y  (3,  1):@0.073089:0.153478:0.578957:0.153478:0.578957:0.137765:0.073089:0.137765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.456641:0.153478:0.466525:0.153478:0.466525:0.137072:0.456641:0.137072:0.000000
–:@0.471256:0.154061:0.480460:0.154061:0.480460:0.136406:0.471256:0.136406:0.000000
 :@0.510040:0.154061:0.514642:0.154061:0.514642:0.136406:0.510040:0.136406:0.000000
B:@0.526515:0.153478:0.535350:0.153478:0.535350:0.137072:0.526515:0.137072:0.000000
–:@0.556058:0.154061:0.565262:0.154061:0.565262:0.136406:0.556058:0.136406:0.000000
0:@0.361876:0.418443:0.368409:0.418443:0.368409:0.407015:0.361876:0.407015:0.000000
-1:@0.359145:0.434883:0.369667:0.434883:0.369667:0.423455:0.359145:0.423455:0.000000:0.000000
1:@0.361876:0.391826:0.368409:0.391826:0.368409:0.380398:0.361876:0.380398:0.000000
2:@0.361876:0.369667:0.368409:0.369667:0.368409:0.358239:0.361876:0.358239:0.000000
3:@0.361876:0.347508:0.368409:0.347508:0.368409:0.336081:0.361876:0.336081:0.000000
4:@0.361876:0.325349:0.368409:0.325349:0.368409:0.313922:0.361876:0.313922:0.000000
5:@0.361876:0.303190:0.368409:0.303190:0.368409:0.291763:0.361876:0.291763:0.000000
6:@0.361876:0.281031:0.368409:0.281031:0.368409:0.269604:0.361876:0.269604:0.000000
7:@0.361876:0.258873:0.368409:0.258873:0.368409:0.247445:0.361876:0.247445:0.000000
8:@0.361876:0.236714:0.368409:0.236714:0.368409:0.225286:0.361876:0.225286:0.000000
9:@0.361876:0.214555:0.368409:0.214555:0.368409:0.203127:0.361876:0.203127:0.000000
5:@0.512976:0.418432:0.519509:0.418432:0.519509:0.407005:0.512976:0.407005:0.000000
4:@0.484046:0.418432:0.490579:0.418432:0.490579:0.407005:0.484046:0.407005:0.000000
3:@0.455117:0.418432:0.461650:0.418432:0.461650:0.407005:0.455117:0.407005:0.000000
2:@0.426187:0.418432:0.432720:0.418432:0.432720:0.407005:0.426187:0.407005:0.000000
1:@0.397258:0.418432:0.403791:0.418432:0.403791:0.407005:0.397258:0.407005:0.000000
-1:@0.336695:0.418432:0.347217:0.418432:0.347217:0.407005:0.336695:0.407005:0.000000:0.000000
-2:@0.307765:0.418432:0.318287:0.418432:0.318287:0.407005:0.307765:0.407005:0.000000:0.000000
-3:@0.278836:0.418432:0.289358:0.418432:0.289358:0.407005:0.278836:0.407005:0.000000:0.000000
-4:@0.251546:0.418443:0.262068:0.418443:0.262068:0.407015:0.251546:0.407015:0.000000:0.000000
A:@0.317718:0.209677:0.328487:0.209677:0.328487:0.193964:0.317718:0.193964:0.000000
B:@0.463664:0.430417:0.472960:0.430417:0.472960:0.414704:0.463664:0.414704:0.000000
La recta pasa por  ( 2, 9),  (3,  1) hallamos la pendiente al usar la expresión :@0.073089:0.485113:0.623506:0.485113:0.623506:0.469401:0.073089:0.469401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.200099:0.485113:0.209984:0.485113:0.209984:0.468707:0.200099:0.468707:0.000000
–:@0.214714:0.485696:0.223918:0.485696:0.223918:0.468042:0.214714:0.468042:0.000000
B:@0.260567:0.485113:0.269402:0.485113:0.269402:0.468707:0.260567:0.468707:0.000000
–  :@0.290110:0.485696:0.317537:0.485696:0.317537:0.468042:0.290110:0.468042:0.000000:0.000000:0.000000
m:@0.623153:0.485113:0.637768:0.485113:0.637768:0.468707:0.623153:0.468707:0.000000
=:@0.638799:0.485696:0.654132:0.485696:0.654132:0.468042:0.638799:0.468042:0.000000
y y:@0.660870:0.475210:0.687400:0.475210:0.687400:0.460295:0.660870:0.460295:0.000000:0.000000:0.000000
2:@0.667603:0.478094:0.672364:0.478094:0.672364:0.469766:0.667603:0.469766:0.000000
–:@0.672322:0.475740:0.680689:0.475740:0.680689:0.459690:0.672322:0.459690:0.000000
1:@0.687339:0.478094:0.692100:0.478094:0.692100:0.469766:0.687339:0.469766:0.000000
x x:@0.660887:0.493394:0.687383:0.493394:0.687383:0.478479:0.660887:0.478479:0.000000:0.000000:0.000000
2:@0.667603:0.496278:0.672364:0.496278:0.672364:0.487950:0.667603:0.487950:0.000000
–:@0.672322:0.493923:0.680689:0.493923:0.680689:0.477874:0.672322:0.477874:0.000000
1:@0.687323:0.496278:0.692083:0.496278:0.692083:0.487950:0.687323:0.487950:0.000000
m:@0.254541:0.525676:0.269157:0.525676:0.269157:0.509270:0.254541:0.509270:0.000000
=:@0.270188:0.526259:0.285521:0.526259:0.285521:0.508605:0.270188:0.508605:0.000000
– –:@0.301212:0.517159:0.329728:0.517159:0.329728:0.499505:0.301212:0.499505:0.000000:0.000000:0.000000
1 9:@0.311428:0.516261:0.338907:0.516261:0.338907:0.501977:0.311428:0.501977:0.000000:0.000000:0.000000
3:@0.295349:0.533924:0.303515:0.533924:0.303515:0.519640:0.295349:0.519640:0.000000
– –:@0.304453:0.534817:0.329782:0.533555:0.329782:0.515901:0.304453:0.517163:0.000000:0.000000:0.000000
(:@0.314669:0.532972:0.319547:0.532972:0.319547:0.517260:0.314669:0.517260:0.000000
2:@0.330788:0.532658:0.338954:0.532658:0.338954:0.518374:0.330788:0.518374:0.000000
):@0.339884:0.532974:0.344762:0.532974:0.344762:0.517261:0.339884:0.517261:0.000000
=:@0.354591:0.526261:0.369925:0.526261:0.369925:0.508607:0.354591:0.508607:0.000000
–:@0.390717:0.517159:0.399920:0.517159:0.399920:0.499505:0.390717:0.499505:0.000000
10:@0.400933:0.516261:0.418202:0.516261:0.418202:0.501977:0.400933:0.501977:0.000000:0.000000
3+2:@0.390374:0.533105:0.418553:0.533105:0.418553:0.518821:0.390374:0.518821:0.000000:0.000000:0.000000
=:@0.438987:0.526259:0.454320:0.526259:0.454320:0.508605:0.438987:0.508605:0.000000
–:@0.458194:0.517906:0.467398:0.517906:0.467398:0.500252:0.458194:0.500252:0.000000
10:@0.468410:0.517009:0.485680:0.517009:0.485680:0.502725:0.468410:0.502725:0.000000:0.000000
5:@0.467858:0.533562:0.476024:0.533562:0.476024:0.519278:0.467858:0.519278:0.000000
=–:@0.490159:0.526259:0.515708:0.526259:0.515708:0.508605:0.490159:0.508605:0.000000:0.000000
2:@0.516721:0.525361:0.524887:0.525361:0.524887:0.511077:0.516721:0.511077:0.000000
Se aplica la expresión:@0.073089:0.560187:0.227787:0.560187:0.227787:0.544474:0.073089:0.544474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.329373:0.594691:0.334251:0.594691:0.334251:0.578978:0.329373:0.578978:0.000000
y y:@0.335282:0.594691:0.361475:0.594691:0.361475:0.578285:0.335282:0.578285:0.000000:0.000000:0.000000
–:@0.343786:0.595273:0.352990:0.595273:0.352990:0.577619:0.343786:0.577619:0.000000
1:@0.362510:0.597870:0.367747:0.597870:0.367747:0.588709:0.362510:0.588709:0.000000
):@0.368343:0.594697:0.373221:0.594697:0.373221:0.578985:0.368343:0.578985:0.000000
=:@0.374252:0.595280:0.389585:0.595280:0.389585:0.577625:0.374252:0.577625:0.000000
m x x:@0.390598:0.594697:0.438309:0.594697:0.438309:0.578291:0.390598:0.578291:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.406244:0.594697:0.411122:0.594697:0.411122:0.578985:0.406244:0.578985:0.000000
–:@0.420638:0.595280:0.429842:0.595280:0.429842:0.577625:0.420638:0.577625:0.000000
1:@0.439349:0.597870:0.444585:0.597870:0.444585:0.588709:0.439349:0.588709:0.000000
):@0.445182:0.594697:0.450060:0.594697:0.450060:0.578985:0.445182:0.578985:0.000000
(:@0.320859:0.629201:0.325737:0.629201:0.325737:0.613489:0.320859:0.613489:0.000000
y:@0.326768:0.629201:0.334241:0.629201:0.334241:0.612795:0.326768:0.612795:0.000000
– =–:@0.335272:0.629784:0.386960:0.629784:0.386960:0.612130:0.335272:0.612130:0.000000:0.000000:0.000000:0.000000
9):@0.345488:0.629201:0.360380:0.629201:0.360380:0.613489:0.345488:0.613489:0.000000:0.000000
2:@0.387959:0.628892:0.396125:0.628892:0.396125:0.614608:0.387959:0.614608:0.000000
(:@0.397055:0.629208:0.401933:0.629208:0.401933:0.613495:0.397055:0.613495:0.000000
x:@0.402964:0.629208:0.410419:0.629208:0.410419:0.612802:0.402964:0.612802:0.000000
– –:@0.411450:0.629790:0.436778:0.629790:0.436778:0.612136:0.411450:0.612136:0.000000:0.000000:0.000000
( 2)):@0.421666:0.629208:0.458591:0.629208:0.458591:0.613495:0.421666:0.613495:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.343693:0.670868:0.351166:0.670868:0.351166:0.654462:0.343693:0.654462:0.000000
– =–:@0.352197:0.671450:0.397976:0.671450:0.397976:0.653796:0.352197:0.653796:0.000000:0.000000:0.000000:0.000000
9:@0.362413:0.670868:0.371396:0.670868:0.371396:0.655155:0.362413:0.655155:0.000000
2:@0.398968:0.670551:0.407134:0.670551:0.407134:0.656267:0.398968:0.656267:0.000000
x:@0.408065:0.670866:0.415519:0.670866:0.415519:0.654460:0.408065:0.654460:0.000000
–:@0.416550:0.671449:0.425754:0.671449:0.425754:0.653795:0.416550:0.653795:0.000000
4:@0.426766:0.670866:0.435749:0.670866:0.435749:0.655154:0.426766:0.655154:0.000000
Se reta 2 a lado y lado para obtener::@0.073089:0.705370:0.332514:0.705370:0.332514:0.689658:0.073089:0.689658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.350726:0.739875:0.358199:0.739875:0.358199:0.723468:0.350726:0.723468:0.000000
=–:@0.359230:0.740457:0.384779:0.740457:0.384779:0.722803:0.359230:0.722803:0.000000:0.000000
2:@0.385792:0.739572:0.393958:0.739572:0.393958:0.725288:0.385792:0.725288:0.000000
x:@0.394888:0.739887:0.402343:0.739887:0.402343:0.723481:0.394888:0.723481:0.000000
+:@0.403374:0.740470:0.418707:0.740470:0.418707:0.722815:0.403374:0.722815:0.000000
5:@0.419720:0.739887:0.428702:0.739887:0.428702:0.724174:0.419720:0.724174:0.000000
Ejemplo 7:@0.073074:0.774391:0.149446:0.774391:0.149446:0.757722:0.073074:0.757722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina si los puntos  (2, 3) y  (1, 1) pertenecen a la recta de ecuación :@0.073074:0.808895:0.646442:0.808895:0.646442:0.793183:0.073074:0.793183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.260976:0.808895:0.270860:0.808895:0.270860:0.792489:0.260976:0.792489:0.000000
B:@0.328088:0.808895:0.336924:0.808895:0.336924:0.792489:0.328088:0.792489:0.000000
y:@0.647933:0.808895:0.655406:0.808895:0.655406:0.792489:0.647933:0.792489:0.000000
= –:@0.655572:0.809478:0.697135:0.809478:0.697135:0.791824:0.655572:0.791824:0.000000:0.000000:0.000000
4 5 :@0.671126:0.808895:0.710370:0.808895:0.710370:0.793183:0.671126:0.793183:0.000000:0.000000:0.000000:0.000000
x:@0.680311:0.808895:0.687766:0.808895:0.687766:0.792489:0.680311:0.792489:0.000000
 :@0.706339:0.808895:0.710370:0.808895:0.710370:0.793183:0.706339:0.793183:0.000000
Se remplaza el valor de   en la ecuación. Si el valor de y es igual al que está en el punto, :@0.073093:0.825537:0.710652:0.825537:0.710652:0.809824:0.073093:0.809824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.244943:0.825537:0.252398:0.825537:0.252398:0.809131:0.244943:0.809131:0.000000
el punto es de la recta. De lo contrario, no pertenece a la recta. :@0.073093:0.842179:0.529061:0.842179:0.529061:0.826466:0.073093:0.826466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el punto  (2, 3): :@0.073093:0.876683:0.224345:0.876683:0.224345:0.860970:0.073093:0.860970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.172897:0.876683:0.182782:0.876683:0.182782:0.860277:0.172897:0.860277:0.000000
y:@0.224253:0.876683:0.231726:0.876683:0.231726:0.860277:0.224253:0.860277:0.000000
=:@0.232757:0.877265:0.248090:0.877265:0.248090:0.859611:0.232757:0.859611:0.000000
4(2) 5 8 5 3, el punto A pertenece a la recta.:@0.249103:0.876683:0.607707:0.876683:0.607707:0.860970:0.249103:0.860970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– = – =:@0.280947:0.877265:0.363099:0.877265:0.363099:0.859611:0.280947:0.859611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el punto  (1, 1): :@0.073130:0.911187:0.223333:0.911187:0.223333:0.895474:0.073130:0.895474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.172934:0.911187:0.181769:0.911187:0.181769:0.894781:0.172934:0.894781:0.000000
y:@0.223241:0.911187:0.230714:0.911187:0.230714:0.894781:0.223241:0.894781:0.000000
=:@0.231745:0.911770:0.247078:0.911770:0.247078:0.894115:0.231745:0.894115:0.000000
4(1) 5 4 5:@0.248090:0.911187:0.345723:0.911187:0.345723:0.895474:0.248090:0.895474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– = – =–:@0.279935:0.911770:0.372303:0.911770:0.372303:0.894115:0.279935:0.894115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1, el punto B no pertenece a la recta. :@0.373315:0.911187:0.642939:0.911187:0.642939:0.895474:0.373315:0.895474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.145303:0.848854:0.145303:0.848854:0.128356:0.740294:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.161945:0.837769:0.161945:0.837769:0.144998:0.740294:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\La pendiente te dice :@0.741944:0.182392:0.885940:0.182392:0.885940:0.168108:0.741944:0.168108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo ‘sube’ o ‘baja’ la :@0.741944:0.197521:0.882257:0.197521:0.882257:0.183237:0.741944:0.183237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta.\:@0.741944:0.212650:0.781250:0.212650:0.781250:0.198366:0.741944:0.198366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.741944:0.235999:0.750143:0.235999:0.750143:0.220845:0.741944:0.220845:0.000000:0.000000
Si la pendiente es :@0.772137:0.235999:0.896344:0.235999:0.896344:0.220845:0.772137:0.220845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positiva:@0.772070:0.251128:0.826349:0.251128:0.826349:0.235974:0.772070:0.235974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, la recta sube :@0.826254:0.251128:0.919785:0.251128:0.919785:0.236844:0.826254:0.236844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de izquierda a :@0.772070:0.266257:0.868125:0.266257:0.868125:0.251972:0.772070:0.251972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha.:@0.772070:0.281386:0.828625:0.281386:0.828625:0.267101:0.772070:0.267101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.741944:0.304733:0.750143:0.304733:0.750143:0.289579:0.741944:0.289579:0.000000:0.000000
Si es negativa, :@0.772137:0.304733:0.872935:0.304733:0.872935:0.289579:0.772137:0.289579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
baja :@0.872808:0.304733:0.904282:0.304733:0.904282:0.290449:0.872808:0.290449:0.000000:0.000000:0.000000:0.000000:0.000000
de izquierda a :@0.772070:0.319862:0.868125:0.319862:0.868125:0.305578:0.772070:0.305578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha.:@0.772070:0.334991:0.828625:0.334991:0.828625:0.320707:0.772070:0.320707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.741944:0.358340:0.750143:0.358340:0.750143:0.343186:0.741944:0.343186:0.000000:0.000000
Si es cero,:@0.772137:0.358340:0.839060:0.358340:0.839060:0.343186:0.772137:0.343186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es una :@0.838955:0.358340:0.889357:0.358340:0.889357:0.344056:0.838955:0.344056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea horizontal.:@0.772053:0.373469:0.876303:0.373469:0.876303:0.359185:0.772053:0.359185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.741944:0.396818:0.750143:0.396818:0.750143:0.381664:0.741944:0.381664:0.000000:0.000000
Si no tiene pendiente :@0.772137:0.396818:0.923101:0.396818:0.923101:0.381664:0.772137:0.381664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.772070:0.411947:0.776504:0.411947:0.776504:0.397663:0.772070:0.397663:0.000000
indefinida ,:@0.776437:0.411947:0.854099:0.411947:0.854099:0.396793:0.776437:0.396793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
)  es una :@0.846268:0.411947:0.904435:0.411947:0.904435:0.397663:0.846268:0.397663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea vertical.:@0.772086:0.427076:0.857461:0.427076:0.857461:0.412792:0.772086:0.412792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conocer la pendiente :@0.741965:0.450425:0.888742:0.450425:0.888742:0.436141:0.741965:0.436141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
antes de escribir la :@0.741965:0.465554:0.867741:0.465554:0.867741:0.451270:0.741965:0.451270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación te ayuda a :@0.741965:0.480683:0.877530:0.480683:0.877530:0.466399:0.741965:0.466399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
visualizar cómo se :@0.741965:0.495812:0.865261:0.495812:0.865261:0.481528:0.741965:0.481528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comporta la recta y :@0.741965:0.510941:0.873542:0.510941:0.873542:0.496657:0.741965:0.496657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entender su dirección en :@0.741965:0.526070:0.910447:0.526070:0.910447:0.511786:0.741965:0.511786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el plano.:@0.741965:0.541199:0.797616:0.541199:0.797616:0.526915:0.741965:0.526915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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