## 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&=-0.002x+14\\\\ -14&=-0.002x\\\\ \frac{-14}{-0.002}&=\frac{-0.002x}{-0.002}\\\\ 7000&=x\\ \end{align*} Thus, the $x$-intercept is $(7000, 0)$. Find the $y$-intercept by setting $x=0$ to obtain: \begin{align*} y&=-0.002(0)+14\\ y&=14\\ \end{align*} Thus, the $y$-intercept is $(0, 14)$. Plot the intercepts and connect them using a straight line. Refer to the graph above.