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 3 - Introduction to Graphing - Test: Chapter 3: 9

Answer

Refer to the graph below.
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Work Step by Step

Find the x-intercept by setting $y=0$ then solving for $x$: $2x-4y=-8 \\2x-4(0)=-8 \\2x=-8 \\\frac{2x}{2}=\frac{-8}{2} \\x=-4$ Thus, the x-intercept is $(-4, 0)$. Find the y-intercept by setting $x=0$ then solving for $y$: $2x-4y=-8 \\2(0)-4y=-8 \\-4y=-8 \\\frac{-4y}{-4}=\frac{-8}{-4} \\y=2$ 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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