Answer
Refer to the graph below.
Work Step by Step
Solve for $y$ by dividing both sides of the equation by $3$:
$\frac{3y}{3}=\frac{2}{3}
\\y=\frac{2}{3}$
This means that equation $3y=2$ is equivalent to and has the same graph as $y=\frac{2}{3}$.
RECALL:
The graph of an equation of the form $y=k$ where $k$ is a real number is a horizontal line whose y-intercept is $(0, k)$. The line is parallel to the y-axis and each point on the line has a y-coordinate of $k$.
Thus, the equation $y=\frac{2}{3}$ is a horizontal line whose y-intercept is $(0, \frac{2}{3})$. Every point on the line has a y-coordinate of $\frac{2}{3}$. This means the following points are on the line:
$(0, \frac{2}{3})$, $(-2, \frac{2}{3})$, and $(2, \frac{2}{3})$
Plot the three points above then connect them using a line to complete the graph.
(Refer to the graph in the answer part above.)
