Question

fill in the blanks below.
(a) find the slope of the line passing through the points (-8, 4) and (7, 4).
slope:
(b) find the slope of the line passing through the points (-2, 6) and (-2, -3).
slope:

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Solve part (a)

For the points $(-8,4)$ and $(7,4)$, let $(x_1,y_1)=(-8,4)$ and $(x_2,y_2)=(7,4)$. Then $m=\frac{4 - 4}{7-(-8)}=\frac{0}{15}=0$.

Step3: Solve part (b)

For the points $(-2,6)$ and $(-2,-3)$, let $(x_1,y_1)=(-2,6)$ and $(x_2,y_2)=(-2,-3)$. Then $m=\frac{-3 - 6}{-2-(-2)}=\frac{-9}{0}$, which is undefined.

Answer:

(a) 0
(b) Undefined