Answer
Graph:
Work Step by Step
Intercepts (set x=0, find the y; set y=0, find the x:
$\left[\begin{array}{lll}
x=0, & & y=0\\
2(0)=3y-6 & & 2x=3(0)+6 \\
6=3y & & 2x=6\\
y=2 & & x=3\\
(0,2) & & (3,0)
\end{array}\right] $
Checkpoint (select any x, find the accompanying y):
$\left[\begin{array}{l}
x=6\\
2(6)=3y+6 \\
6=3y\\
y=2\\
(6,2)
\end{array}\right]$
Plot the points and a line that passes through them