## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

x-intercept: $(40, 0)$ y-intercept: $(0, -\frac{80}{7})$
Find the x-intercept by setting $y=0$ then solving for $x$: $2x-7y=80 \\2x-7(0)=80 \\2x=80 \\\frac{2x}{2}=\frac{80}{2} \\x=40$ Thus, the x-intercept is $(40, 0)$. Find the y-intercept by setting $x=0$ then solving for $y$: $2x-7y=80 \\2(0)-7y=80 \\-7y=80 \\\frac{-7y}{-7}=\frac{80}{-7} \\y=-\frac{80}{7}\approx -11.429$ Thus, the y-intercept is $(0, -\frac{80}{7})$. Use a graphing utility to graph the equation and verify the intercepts. (Refer to the attached image below for the graph.)