SOLUTION: Find the average rate of change of g(x) = -4x + 2 between x = a and x = a + h. What, if any, is the relationship between the average rate of change and slope of the line?

Algebra ->  Functions -> SOLUTION: Find the average rate of change of g(x) = -4x + 2 between x = a and x = a + h. What, if any, is the relationship between the average rate of change and slope of the line?       Log On


   

Question 899776: Find the average rate of change of g(x) = -4x + 2 between x = a and
x = a + h. What, if any, is the relationship between the average rate of change and
slope of the line?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The average rate of change is the change in the y values divided by the change in x values.


That's (-4(a+h)+2 - (-4a +2))/(a+h-a) = (-4a -4h + 2 +4a -2)/h = -4h/h = -4


The average rate of change is the slope of a line.