Answer
Refer to the image below for the graph.
Work Step by Step
(1) Solve for the $x$ and $y$ intercepts.
To find the x-intercept, set $y=0$ and then solve for $x$:
$\\3x=2y+6
\\3x = 2(0)+6
\\3x = 6
\\x =\frac{6}{3}
\\x=2$
This means that the x-intercept is at $(2, 0)$.
To find the y-intercept, set x=0 and then solve for $y$:
$3x=2y+6
\\3(0)=2y+6
\\0=3y+6
\\-6=2y
\\\frac{-6}{2}=y
\\-3=y$
This means that the y-intercept is at $(0,-3)$.
(2) Plot the intercepts and then connect them using a line.
