Secuencia Didáctica: Ecuación de la recta

OBJETIVOS:
[list][*]Determinar la ecuación de la recta, conociendo la pendiente y un punto de la recta.[/*][*]Determinar la ecuación de la recta, conociendo dos puntos de la recta.[/*][*]Graficar una ecuación conociendo la pendiente y un punto de la recta.[/*][*]Graficar una ecuación conociendo dos puntos de la recta.[/*][*]Resolver problemas de aplicación usando modelos lineales[/*][/list]
APERTURA
Una recta esta determinada por su pendiente (m) con sus coordenadas (x, y) de un punto de ella misma. Se determina la ecuación en X y Y que satisfaga las coordenadas(X,Y) de cualquier punto de la recta y que no satisfaga por ningún otro para cualquier de los números reales[br]La pendiente dela recta que une P con el punto dado Q es:[br][br][img]data:image/png;base64,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[/img][br]
DESARROLLO:
Resuelve el ejercicio anterior con la ayuda de Geogebra
Resuelve el siguiente problema:
Ana trabaja vendiendo persianas. Recibe un sueldo base mensual y una comisión de $6 por cada persiana que vende. A fin de mes, ella cuenta las ventas y calcula que ha vendido 200 persianas y ganó $2.500. Escribe una ecuación en forma punto-pendiente que describa esta situación. ¿Cuánto es el sueldo base mensual de Ana?[br]x=  Número de persianas vendidas[br]y= Sueldo mensual de Ana[br][br]Ana gana $6 por cada persiana, así que la pendiente es 6. [br]Ella gana $2.500 tras vender 200 persianas, por lo que el punto es (200, 2500). [br][math]y-y1=m\left(x-x1\right)[/math][br][br][math]y-2500=6\left(x-200\right)[/math][br][br][math]y=6x+1300[/math] El sueldo base de Ana es de 1300[br]
Ingresa los datos del ejercicio anterior y verifica con la ayuda de Geogebra
[b]Ecuación de la Recta conociendo dos puntos[/b][br][br][img]data:image/png;base64,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[/img][br][b][br]Los vértices de un triángulo son los puntos [i]A[/i](21,23),B(2,5) y C(3, 24).[/b][br][br]•Halla la ecuación de la recta que contiene a cada uno de los lados del triángulo [i]ABC[/i].[br]•Elabora la gráfica de la situación planteada en un plano cartesiano usando geogebra[br][br]Recuerda que:[br][icon]/images/ggb/toolbar/mode_point.png[/icon] Permite graficar un punto en el plano cartesiano. Puedes tambien hacer uso de la barra de entrada[br][br][icon]/images/ggb/toolbar/mode_join.png[/icon]Permite trazar una recta dado dos puntos
Usando Geogebra tenemos:
CIERRE:
[b]Ejercicio 1[/b][br]Felipe quiere comprar un video jugo. Tiene $ 50 de su cumpleaños, pero el videojuego original que quiere cuesta $ 290, así que tendrá que ahorrar para juntar el resto. Su plan es ahorrar $ 20 al mes hasta que consiga la cantidad que necesita.[br]a)   Escribe una ecuación que le ayude a saber cuándo tendrá suficiente dinero para comprar el videojuego. Ten en cuenta que [i]x [/i]será el tiempo en meses y [i]y [/i]será la cantidad de dinero ahorrado. Pasado el primer mes Felipe tiene $ 70, lo que significa que cuando [i]x [/i]= 1,[i]y [/i]= 70, es decir, la recta pasa por el punto (1, 70). También sabemos que Felipe espera ahorrar $ 20 al mes. Esto equivale a la tasa de cambio o pendiente.[br]b)   ¿Cuántos meses deben pasar para que Felipe pueda comprar el videojuego?[br][br]
[b]Ejercicio 2[/b][br]Una empresa de turismo ha observado que cuando el precio de un viaje es de $150 se venden 40 asientos, pero si el precio sube a $ 180, las ventas bajan a 30 asientos.[br][br][br]
Utiliza geogebra para resolver el ejercicio 1 y 2

Information: Secuencia Didáctica: Ecuación de la recta