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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1-3 - Cumulative Review - Page 228: 25

Answer

Refer to the graph below.

Work Step by Step

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