what is the rate of change(slope) between point A and point B?what is the rate of change(Slope) between point B and C?

We will determine the rate of change as follows:
*A(1, 1) & B(4, 4)
[tex]m=\frac{4-1}{4-1}\Rightarrow m=\frac{3}{3}\Rightarrow m=1[/tex]The rate of change is 1.
Since we can see that B & C are in the same line as A & B, the rate of change is the same m = 1.