Question

How is average rate of change related to linear functions?

Answer 1

The average rate of change is constant for a linear function.

Another way to state this is that the average rate of change remains the same for the entire domain of a linear function.

If the linear function is `y=7x+12` then the average rate of change is 7 over any interval selected.

Slope intercept form
`y=mx+b`, where `m` is the slope.