What is the slope of the line that passes through the points (−4,0) and (2, 0)? write your answer in simplest form.

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:

Here we know that the line passes through (-4, 0) and (2, 0) then the slope will be:

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:

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since both points have a y- coordinate of zero, this is a horizontal line parallel to the x- axis

hence slope = 0