Question

what is the slope of the line that passes through the points (-5, -9) and (-5, -13)? write your answer in simplest form.

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: Substitute given points

Let $(x_1,y_1)=(-5,-9)$ and $(x_2,y_2)=(-5,-13)$. Substitute into formula:
$m=\frac{-13-(-9)}{-5-(-5)}=\frac{-4}{0}$

Step3: Evaluate the expression

Division by 0 is undefined, so the slope is undefined.

Answer:

Undefined