## Precalculus (6th Edition)

Published by Pearson

# Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 297: 39

#### Answer

Refer to the graph below.

#### Work Step by Step

The given equation can be graphed using its intercepts. Find the x-intercept by setting $y=0$ then solving for $x$: $2x+5y=20 \\2x+5(0)=20 \\2x=20 \\\frac{2x}{2}=\frac{20}{2} \\x=10$ The x-intercept is $(10, 0)$. Find the y-intercept by setting $x=0$ then solving for $y$: $2x+5y=20 \\2(0)+5y=20 \\5y=20 \\\frac{5y}{5}=\frac{20}{5} \\y=4$ The y-intercept is $(0, 2)$. Plot the x and y-intercepts then connect them using a straight line. (Refer to the graph in the answer part above.)

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