Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises - Page 300: 53

The rate of P and Q and the rate of Q and R are not the same, so they are different lines.

We find the rate of all three points by using the slope formula $(\frac{b_1-b_2}{a_1-a_2})$ $PQ=\frac{2-2}{4-(-3)}=0$ $QR=\frac{2-5}{-3-2}=\frac{-3}{-5}$ The rate of P and Q and the rate of Q and R are not the same, so they are different lines.