To determine the rate of change between the ordered pairs (4, 9) and (-1, 9), you can use the formula:
Rate of change = (Change in y) / (Change in x)
In this case, both ordered pairs have the same y-coordinate (9), so the change in y is 0. The change in x is the difference between the x-coordinates, which is:
Change in x = (-1) - 4 = -5
Now, you can calculate the rate of change:
Rate of change = (0) / (-5) = 0
So, the rate of change between these two ordered pairs is 0. This means that the y-coordinate (9) remains the same, and there is no change in the dependent variable as the independent variable (x) changes from 4 to -1.