Answer
Three additional points on the line can be:
$(0,6)$
$(3,10)$
$(6,14)$
Work Step by Step
If we interpret the slope, we can say that if $m=\frac{4}{3}$, then for every $3$ unitincrease in $x$, $y$ increases by $4$. Using that, we can calculate more points on the line.
The starting point is given $(-3,2)$, after that, we have to add the aforementioned changes to the x and y-coordinates.
Next point can be:
$(-3+3,2+4)=(0,6)$
Now, starting with $(0,6)$ we add the changes again:
$(0+3,6+4)=(3,10)$
Now, starting with $(6,-10)$ we add the changes again:
$(3+3,10+4)=(6,14)$
