Answer:
The rate of change, or slope, between two points on a graph is the change in the y-coordinate (rise) divided by the change in the x-coordinate (run). The formula for the slope between two points (x1, y1) and (x2, y2) is:
slope = (y2 - y1) / (x2 - x1)
Given the points (-4,-2) and (1,-7) we can plug in the coordinates into the formula:
slope = (-7 - (-2)) / (1 - (-4)) = (-5) / (5) = -1
So the rate of change, or slope, between the two points (-4,-2) and (1,-7) is -1.
This means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1.