Question

Find the slope of the line passing through the points (-9, 3) and (-9, -2).

Answer 1

Undefined slope

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:
`m=(y_2-y_1)/(x_2-x_1)` , 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:

`m=(-2-3)/(-9-(-9))`

`m=(-5)/(0)`

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.