Answer
Refer to the graph below.
Work Step by Step
Solve for $y$ to obtain:
$3y+2x-2x=0-2x
\\3y=-2x
\\\frac{3y}{3}=\frac{-2x}{3}
\\y=-\frac{2}{3}x$
This means that given equation is equivalent to and has the same graph as $y=-\frac{2}{3}x$.
To graph this equation, perform the following steps:
(1) Create a table of values by assigning convenient values to $x$ and solving for the value of $y$ for each one.
(refer to the table below)
(2) Plot each ordered pair then connect the points using a line.
(Refer to the graph in the answer part above.)
