Question

find the slope of the line containing the points (-2,5) and (-2,0).
-5
undefined slope
$\boldsymbol{-\frac{2}{3}}$
zero 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: Substitute given points

Let $(x_1,y_1)=(-2,5)$ and $(x_2,y_2)=(-2,0)$. Substitute into formula:
$m=\frac{0-5}{-2-(-2)}=\frac{-5}{0}$

Step3: Evaluate the expression

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

Answer:

undefined slope