what is the slope of the line that passes through the points (-8, -1) and (-8, -11)? write your answer in…
what is the slope of the line that passes through the points (-8, -1) and (-8, -11)? write your answer in simplest form.
Answer
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, $x_1=-8,y_1 = - 1,x_2=-8,y_2=-11$.
Step2: Substitute values
Substitute the values into the formula: $m=\frac{-11-(-1)}{-8 - (-8)}=\frac{-11 + 1}{-8+8}=\frac{-10}{0}$.
Step3: Analyze result
Since division by zero is undefined, the slope of the line is undefined. This indicates a vertical line.
Answer:
Undefined