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\\
0-2y=12 & & 6x-0=12 \\
-2y=12 & & 6x=12\\
y=-6 & & x=2\\
(0,-6) & & (2,0)
\end{array}\right] $
Checkpoint (select any x, find the accompanying y):
$\left[\begin{array}{l}
x=3\\
6(3)-2y=12\\
-2y=12-18\\
-2y=-6\\
y=3\\
(3,3)
\end{array}\right]$
Plot the points and a line that passes through them
Graph:
