Question

in the graph to the right, are lines l1 and l2 parallel? explain. choose the correct answer below. a. no, lines l1 and l2 are not parallel because they have different slopes. b. no, lines l1 and l2 are not parallel because they have the same slope. c. yes, lines l1 and l2 are parallel because they have different slopes. d. yes, lines l1 and l2 are parallel because they have the same slope.

Explanation:

Step1: Encontrar la pendiente de la línea $L_1$

La pendiente $m$ se calcula como $m=\frac{y_2 - y_1}{x_2 - x_1}$. Para la línea $L_1$ con puntos $(0, - 1)$ y $(8,1)$, entonces $m_1=\frac{1-(-1)}{8 - 0}=\frac{2}{8}=\frac{1}{4}$.

Step2: Encontrar la pendiente de la línea $L_2$

Para la línea $L_2$ con puntos $(0,6)$ y $(8,4)$, entonces $m_2=\frac{4 - 6}{8-0}=\frac{-2}{8}=-\frac{1}{4}$.

Step3: Comprobar si son paralelas

Dos líneas son paralelas si tienen la misma pendiente. Aquí $m_1
eq m_2$.

Answer:

A. No, lines $L_1$ and $L_2$ are not parallel because they have different slopes.