Answer
Intercepts: $(0,2)$; $(6,0)$;
Work Step by Step
We are given the linear equation:
$$x-3y=6.$$
The graph is a line. We determine its intercepts:
$$\begin{align*}
x=0&\Rightarrow 0-3y=6\Rightarrow y=-2\\
y=0&\Rightarrow x-3(0)=6\Rightarrow x=6.
\end{align*}$$
In order to graph the line we plot the points $(0,-2)$ and $(6,0)$ and join them by a straight line:
