Answer:
m=undefined
Step-by-step explanation:
The slope tells us the steepness and direction of a line. It is the change in y over the change in x.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points we are given are (-1, 3) and (-1, 0). If we match the number with the corresponding variable we see that:
Substitute the values into the formula.
[tex]m= \frac{ 0-3}{-1--1}[/tex]
Solve the numerator.
[tex]m= \frac{-3}{-1--1}[/tex]
Solve the denominator.
[tex]m=\frac{3}{0}[/tex]
Since we cannot divide a number by 0, the slope is undefined. Basically, this is a vertical line and all the points have the same x-coordinate.
