Answer
Option $(d)$
Work Step by Step
RECALL:
In the equation $y=mx+b$, $m$=slope and $b$ is the y-coordinate of the y-intercept. The y-intercept point is $(0, b)$.
The given equation, $y=\frac{2}{3}x+3$, has $m=\frac{2}{3}$.
Thus, the answer is Option $(d)$.