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

Published by Pearson

Chapter 3 - Introduction to Graphing - Review Exercises: Chapter 3: 30

Answer

Refer to the graph below.

Work Step by Step

Find the x-intercept by setting $y=0$ then solving for $x$: $5x-2y=10 \\5x-2(0)=10 \\5x=10 \\\frac{5x}{5}=\frac{10}{5} \\x=2$ Thus, the x-intercept is $(2, 0)$. Find the y-intercept by setting $x=0$ then solving for $y$: $5x-2y=10 \\5(0)-2y=10 \\-2y=10 \\\frac{-2y}{-2}=\frac{10}{-2} \\y=-5$ Thus, the y-intercept is $(0, -5)$. Plot the x and y-intercepts, then connect them using a line to complete the graph. (Refer to the graph in the answer part above.)

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