## Intermediate Algebra: Connecting Concepts through Application

Simplify the equation to obtain: \begin{align*} 5y+x&=2y+3(y)-3(10)\\ 5y+x&=2y+3y-30\\ 5y+x&=5y-30\\ x&=5y-30-5y\\ x&=-30 \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 $(-30, 0)$. The graph has no $y$-intercept. Refer to the graph above.