a) The average rate of change measures how much a function changes on average over a given interval.

- g(b) - g(a) / b - a
- In this case b = 4 and a = -8.
- g(4) = 6 (4)^2 - 3 = 93
- g(-8) = 6 (-8)^2 - 3 = 381
- When you plug these values into the first bullet point you will get a slope, m.

b) To find the equation of the secant line you need to know the slope, m, between the two points which is what you find in part a. Then you just plug in a point's values into the equation for point-slope form.

- y - y1 = m ( x -x1)