## Intermediate Algebra: Connecting Concepts through Application

Recall: (1) The $x$-intercept of a linear equation can be found by setting $y=0$ then solving for $x$. (2) The $y$-intercept of a linear equation can be found by setting $x=0$ then solving for $y$. Find the $x$-intercept by setting $y=0$ to obtain: \begin{align*} 2x-100y&=400\\ 2x-100(0)&=400\\ 2x&=400\\ x&=\frac{400}{2}\\ x&=200 \end{align*} Thus, the $x$-intercept is $(200, 0)$. Find the $y$-intercept by setting $x=0$ to obtain: \begin{align*} 2x-100y&=400\\ 2(0)-100y&=400\\ -100y&=400\\ y&=\frac{400}{-100}\\ y&=-4 \end{align*} Thus, the $y$-intercept is $(0, -4)$. Plot the intercepts and connect them using a straight line. Refer to the graph above.