what is the slope of the line that passes through the points (8, -6) and (8, -9)? write your answer in…

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 8$, $y_1=-6$, $x_2 = 8$, $y_2=-9$.

Step2: Substitute values into formula

$m=\frac{-9-(-6)}{8 - 8}=\frac{-9 + 6}{0}=\frac{-3}{0}$. Since division by zero is undefined, the slope of the line passing through the points $(8,-6)$ and $(8,-9)$ is undefined.

Answer:

Undefined