Answer
Refer to the graph below.
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$:
$3y-2x=12
\\3(0)-2x=12
\\-2x=12
\\\frac{-2x}{-2}=\frac{12}{-2}
\\x=-6$
Thus, the x-intercept is $(-6, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$3y-2x=12
\\3y-2(0)=12
\\3y=12
\\\frac{3y}{3}=\frac{12}{3}
\\y=4$
Thus, the y-intercept is $(0, 4)$.
Plot the intercepts then connect them using a line to complete the graph.
(refer to the graph in the answer part above)