## Intermediate Algebra: Connecting Concepts through Application

Simplify the equation to obtain: \begin{align*} y+3x&=6\cdot \frac{1}{2}x -6\cdot 2\\ y+3x&=3x-12\\ y&=3x-12-3x\\ y&=-12 \end{align*} Recall: The graph of an equation of the form $y=k$ is a horizontal line that passes through the point $(0, k)$. All points on the line have a $y$-coordinate of $k$, and the graph has no $x$-intercept unless $k=0$. Thus, the graph of the given line is a horizontal line that passes through $(0, -12)$. The graph has no $x$-intercept. Refer to the graph above.