since both points have a y- coordinate of zero, this is a horizontal line parallel to the x- axis
hence slope = 0
We want to find the slope of a line given that we know two points on the line.
We will see that the slope of the line is 0.
Generally, if we know that a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that the line passes through (-4, 0) and (2, 0) then the slope will be:
[tex]a = \frac{0 - 0}{2 - (-4)} = 0[/tex]
The slope is equal to zero, meaning that this is a horizontal line (as you can see in the points, the y-component does not change).
If you want to learn more, you can read:
https://brainly.com/question/16180119
