Question

what is the slope of the line that passes through the points (-10,9) and (-10,18)? write your answer in simplest form.

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the coordinates

Let $(x_1,y_1)=(-10,9)$ and $(x_2,y_2)=(-10,18)$.

Step3: Substitute into the formula

$m=\frac{18 - 9}{-10-(-10)}=\frac{9}{-10 + 10}=\frac{9}{0}$.
Since division by zero is undefined, the slope of the line is undefined.

Answer:

Undefined