Question

31 what is the slope of the line that passes through the points (-5,8) and (-5,-1)? a. $-dfrac{9}{10}$ b. 0 c. $dfrac{9}{10}$ d. undefined

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: Identify coordinates

Here, \( x_1=-5, y_1 = 8, x_2=-5, y_2=-1 \).

Step3: Substitute into formula

\( m=\frac{-1 - 8}{-5-(-5)}=\frac{-9}{0} \). Division by zero is undefined, so the slope is undefined.

Answer:

D. Undefined