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