Answer
$\text{$x$-intercept: }
2
\\\text{$y$-intercept: }
-3$
Work Step by Step
Substituting $y=0,$ then
\begin{array}{l}\require{cancel}
3x-2y=6
\\\\
3x-2(0)=6
\\\\
3x-0=6
\\\\
3x=6
\\\\
x=\dfrac{6}{3}
\\\\
x=2
.\end{array}
Hence, the $x$-intercept is $
2
.$
Substituting $x=0,$ then
\begin{array}{l}\require{cancel}
3x-2y=6
\\\\
3(0)-2y=6
\\\\
0-2y=6
\\\\
-2y=6
\\\\
y=\dfrac{6}{-2}
\\\\
y=-3
.\end{array}
Hence, the $y$-intercept is $
-3
.$
The given equation has the following characteristics:
\begin{array}{l}\require{cancel}
\text{$x$-intercept: }
2
\\\text{$y$-intercept: }
-3
.\end{array}
Using the intercepts, the graph is shown above.