Question

fill in the blanks below.
(a) find the slope of the line passing through the points (8, 6) and (3, -9).
slope:
(b) find the slope of the line passing through the points (-7, -8) and (-7, 6).
slope:

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Solve part (a)

Substitute $(8,6)$ and $(3,-9)$:
$m=\frac{-9-6}{3-8}=\frac{-15}{-5}=3$

Step3: Solve part (b)

Substitute $(-7,-8)$ and $(-7,8)$:
$m=\frac{8-(-8)}{-7-(-7)}=\frac{16}{0}$
Division by 0 is undefined, so slope is undefined.

Answer:

(a) 3
(b) Undefined