Answer
Refer to the graph below.
Work Step by Step
Solve for $y$:
$3y=x
\frac{3y}{3}=\frac{x}{3}
\\y=\frac{1}{3}x$
This means the given equation is equivalent to $y=\frac{1}{3}x$.
RECALL:
(1) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept.
(2) The slope is the ratio rise (change in $y$) over run (change in $x$).
The equation $y=\frac{1}{3}x$ has a slope of $\frac{1}{3}$ and a y-intercept of $(0, 0)$.
To graph the equation, perform the following steps:
(1) Plot the y-intercept $(0, 0)$.
(2) Use the slope to plot another point.
From $(0, 0)$, move 1 unit up (the rise) and 3 units to the right (the run) to reach $(3, 1)$. Plot $(3, 1)$.
(3) Complete the graph by connecting the points using a straight line.
(Refer to the graph in the answer part above.)