Answer
Refer to the graph below.
Work Step by Step
Simplify the equation to obtain:
\begin{align*}
y+x&=2x-8+y\\
y+x-y&=2x-8\\
x&=2x-8\\
x+8&=2x\\
8&=2x-x\\
8&=x
\end{align*}
Recall:
The graph of an equation of the form $x=h$ is a vertical line that passes through the point $(h, 0)$. All points on the line have an $x$-coordinate of $h$, and the graph has no $y$-intercept unless $h=0$.
Thus, the graph of the given line is a vertical line that passes through $(8, 0)$.
The graph has no $y$-intercept.
Refer to the graph above.
