## Intermediate Algebra: Connecting Concepts through Application

Simplify the equation to obtain: \begin{align*} 2y-4x&=-2\cdot 2x +(-2\cdot 7)\\ 2y-4x&=-4x-14\\ 2y&=-4x-14+4x\\ 2y&=-14\\ y&=-7 \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 $(0, -7)$. The graph has no $x$-intercept. Refer to the graph above.