The slope, m, of the line is -1/3.
Identify the two points on the line.
The two points that are given in the image are (-4, 2) and (2, 0).
Calculate the change in y (vertical change) between the two points.
The change in y is the difference between the y-coordinates of the two points. In this case, the change in y is 0 - 2 = -2.
Calculate the change in x (horizontal change) between the two points.
The change in x is the difference between the x-coordinates of the two points. In this case, the change in x is 2 - (-4) = 6.
Divide the change in y by the change in x to get the slope.
The slope, m, is equal to the change in y divided by the change in x. Therefore, the slope in this case is -2 / 6 = -1/3.