what is the slope of the line that passes through the points (-5, -9) and (-5, -13)? 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, $(x_1,y_1)=(-5,-9)$ and $(x_2,y_2)=(-5,-13)$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{-13-(-9)}{-5 - (-5)}=\frac{-13 + 9}{-5+5}=\frac{-4}{0}$.

Step3: Determine slope nature

Since division by zero is undefined, the slope of the line is undefined. This indicates a vertical line.

Answer:

Undefined