what is the slope of the line that passes through the points (-8,6) and (-8,2)? write your answer in…

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Let $(x_1,y_1)=(-8,6)$ and $(x_2,y_2)=(-8,2)$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{2 - 6}{-8-(-8)}=\frac{-4}{-8 + 8}=\frac{-4}{0}$.

Step3: Analyze result

Division by zero is undefined. A line with an undefined slope is a vertical line.

Answer:

Undefined