Answer
See below
Work Step by Step
We are given: $y-2=\frac{4}{9}(x-3)$
The equation is in point-slope form, $y−y_1=m(x−x_1)$.
First graph a point at $(3,2)$.
Use the slope $\frac{4}{9}$ to find the other points
$x=4: y=\frac{22}{9}$
$x=5: y=\frac{26}{9}$
$x=6: y=\frac{10}{3}$