Now we need to determine how much ? changes when x changes by 1 unit.
Recall for a line ? = a + bx, that slope = change in ? / change in x. We know the slope is -15, so if x changes by 1 unit, we can find the change in ? as follows.
slope = change in ? / change in x
-15 = change in ? / 1
change in ? =
Take for example, that when x = 1 we have ? = 15 - 15(1) = 0. If x increased by 1 unit to x = 2, then ? = 15 - 15(2) = . Notice that ? ---Select--- by 15 units from ? = 0.
If, instead, x decreased by 1 unit from 1 to x = 0, then ? = 15 - 2(0) = . Note that in this case, ? ---Select--- by 15 units from ? = 0.