## 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*} 0&=0.001x-20\\ 20&=0.001x\\ \frac{20}{0.001}&=\frac{0.001x}{0.001}\\ 20,000&=x \end{align*} Thus, the $x$-intercept is $(20000, 0)$. Find the $y$-intercept by setting $x=0$ to obtain: \begin{align*} y&=0.001(0)-20\\ y&=-20\\ \end{align*} Thus, the $y$-intercept is $(0, -20)$. Plot the intercepts and connect them using a straight line. Refer to the graph above.