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\\
0-9y=18 & & 6x-0=18 \\
-9y=18 & & 6x=18\\
y=-2 & & x=3\\
(0,-2) & & (3,0)
\end{array}\right] $
Checkpoint (select any x, find the accompanying y):
$\left[\begin{array}{l}
x=6\\
6(6)-9y=18\\
36-9y=18\\
-9y=-18\\
y=2\\
(6,2)
\end{array}\right]$
Plot the points and a line that passes through them