## Intermediate Algebra: Connecting Concepts through Application

Simplify the equation to obtain: \begin{align*} y-5+14&=3x+y\\ y+9&=3x+y\\ y+9-y&=3x\\ 9&=3x\\ \frac{9}{3}&=x\\ 3&=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 $(3, 0)$. The graph has no $y$-intercept. Refer to the graph above.