Answer
slope = $\dfrac{1}{3}$
Work Step by Step
RECALL:
slope = $\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points on the line.
Use the points on the line $(0, 2)$ and $(3, 3)$ to obtain:
slope = $\dfrac{3-2}{3-0}=\dfrac{1}{3}$