Answer
$(0,6),(3,10),(6,14)$
Work Step by Step
Answer may vary.
Step 1. Given slope $m=\frac{4}{3}$ and point $P(-3,2)$, we can write the point-slope form of the equation as $y-2=\frac{4}{3}(x+3)$ or $y=\frac{4}{3}x+6$.
Step 2. Letting $x=0,3,6$ and using the equation, we can locate three more points on the line as $(0,6),(3,10),(6,14)$
Alternatively, one can use the method given in the textbook example to get the same results.