Question

what is the slope of the line that passes through the points (4, -2) and (4, 10)? 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 $(x_1,y_1)=(4,-2)$ and $(x_2,y_2)=(4,10)$. Substitute into formula:
$m=\frac{10-(-2)}{4-4}=\frac{12}{0}$

Step3: Evaluate the expression

Division by 0 is undefined.

Answer:

undefined