Answer:
Undefined slope
Step-by-step explanation:
To calculate the slope between two points, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
The formula for the slope m between points (x₁, y₁) and (x₂, y₂) is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] , which is also known as "rise over run".
Here, we have the points (-9, 3) and (-9, 2).
x₁ = -9, y₁ = 3, x₂ = -9, y₂ = -2. We can plug these values in to the "rise over run" equation:
[tex]m=\frac{-2-3}{-9-(-9)}[/tex]
[tex]m=\frac{-5}{0}[/tex]
This is a vertical line.
The slope of a line cannot be undefined (a vertical line), because the x-coordinate never changes no matter what the y-coordinate is. Thus, the slope is undefined for the line passing between these two points.
