Question

What is the slope of the line shown? On a coordinate plane, a line passes through points (negative 6, 7), (negative 2, 6), (2, 5), and (6, 4). The slope is .

Answer 1

To find the slope of a line passing through four points, we can use the formula:

slope = (change in y) / (change in x)

We can use any two points to calculate the slope, but since we need to find the slope for the entire line passing through all four points, we need to make sure that the slope is the same for any two points that we choose.

Let's use the points (-6,7) and (-2,6) to calculate the slope:

slope = (6 - 7) / (-2 - (-6)) = -1/4

Now let's use the points (2,5) and (6,4) to calculate the slope:

slope = (4 - 5) / (6 - 2) = -1/4

Since the slope is the same for both pairs of points, we can conclude that the slope of the line passing through all four points is -1/4.

Explanation: