Complete the following.

1. Find the average rate of change for the function $a\left(x\right) = 3x − 5$ over the interval $[2, 6]$.

   Step (a):

   $\frac{a(6)-a(2)}{6-2}$

2. Repeat part (a) for the interval $[5, 7]$.

3. Do you think it is true that $a\left(x\right)$ will have the same average rate of change over any interval? Why or why not?

   Hint (c):

   Think about the graph of $y = a\left(x\right)$.
   What type of curve is it?