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Este cuestionario permite evaluar tu progreso en el tema de ecuaciones de la recta y verificar qué conceptos has comprendido hasta ahora. Responde con atención; servirá para reforzar lo aprendido antes de la evaluación final.

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MICHELLE ESTEFANIA INFANTE SALA
MICHELLE ESTEFANIA INFANTE SALA
Ecuador

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Este cuestionario permite evaluar tu progreso en el tema de ecuaciones de la recta y verificar qué conceptos has comprendido hasta ahora. Responde con atención; servirá para reforzar lo aprendido antes de la evaluación final.

by MICHELLE ESTEFANIA INFANTE SALA
1

¿Qué datos se necesitan para usar la forma punto–pendiente de la recta?

2

¿Qué representa la pendiente de una recta?

3

En la ecuación y = mx + b, ¿Qué representa la letra b?

4

¿Cuándo dos rectas son paralelas?

5

Dos rectas son perpendiculares cuando…

6

La recta que pasa por (2, 1) con pendiente m = 3 es:

7

¿Cuál es la ecuación general de la recta y = –2x + 4?

8

¿Cuál es la pendiente de la recta que pasa por (0, –1) y (4, 3)?

9

¿Cuál es la forma explícita de la recta 3x – y + 2 = 0?

10

¿Qué grafica corresponde a una recta con pendiente negativa?

Explicación

La forma punto–pendiente es y – y₁ = m(x – x₁), por lo que requiere exactamente un punto y la pendiente.

La pendiente indica cuánto sube o baja la recta por cada unidad que avanza horizontalmente.

En la forma explícita, b es la ordenada al origen, es decir, la intersección con el eje Y.

Las rectas paralelas no se cortan y esto ocurre cuando sus pendientes son iguales.

Rectas perpendiculares cumplen m₁·m₂ = –1.

Es la forma punto–pendiente correcta substituyendo x₁ = 2, y₁ = 1 y m = 3.

Se pasa todo al lado izquierdo: y + 2x – 4 = 0 → 2x + y – 4 = 0.

m = (3 – (–1)) / (4 – 0) = 4/4 = 1.

Despejando: –y = –3x – 2 → y = 3x + 2.

Una pendiente negativa indica un descenso conforme se aumenta el valor de x.

 
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