# Chapter 3 - Introduction to Graphing - 3.3 Graphing and Intercepts - 3.3 Exercise Set - Page 179: 25

x-intercept: $(-20, 0)$ y-intercept: $(0, 16)$

#### Work Step by Step

To find the x-intercept, set $y=0$ then solve for $x$: $-4x+5y=80 \\-4x+5(0)=80 \\-4x=80 \\\frac{-4x}{-4}=\frac{80}{-4} \\x=-20$ Thus, the x-intercept of the graph of the given equation is $(-20, 0)$. To find the y-intercept, set $x=0$ then solve for $y$: $-4x+5y=80 \\-4(0)+5y=80 \\5y=80 \\\frac{5y}{5}=\frac{80}{5} \\y=16$ Thus, the y-intercept of the graph of the given equation is $(0, 16)$.

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