Answer
graph of $3y-x=-6$:
Work Step by Step
The $x-$intercept is the value of $x$ when $y=0.$ Setting $y=0,$ the $x$-intercept of the given equation, $
3y-x=-6
,$ is
\begin{align*}
3(0)-x&=-6
\\
0-x&=-6
\\
-x&=-6
\\
x&=6
.\end{align*}
The $x$-intercept is $
\left( 6,0 \right)
$.
The $y-$intercept is the value of $y$ when $x=0.$ Setting $x=0,$ the $y$-intercept of the given equation is
\begin{align*}
3y-0&=-6
\\
3y&=-6
\\\\
\dfrac{3y}{3}&=-\dfrac{6}{3}
\\\\
y&=-2
.\end{align*}
The $y$-intercept is $
(0,-2)
$.
By connecting the intercepts, the graph of the given equation is determined.