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 - 3.3 Graphing and Intercepts - 3.3 Exercise Set: 107

Answer

x-intercept: $(45, 0)$ y-intercept: $(0, -9)$ Refer to the graph below.
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Work Step by Step

Find the x-intercept by setting $y=0$ then solving for $x$: $y=0.2x-9 \\0=0.2x-9 \\9=0.2x \\\frac{9}{0.2}=\frac{0.2x}{0.2} \\45=x$ Thus, the x-intercept is $(45, 0)$. Find the y-intercept by setting $x=0$ then solving for $y$: $y=0.2x-9 \\y=0.2(0)-9 \\y=0-9 \\y=-9$ Thus, the y-intercept is $(0, -9)$. Use a graphing utility to graph the equation and verify the intercepts. (Refer to the attached image below for the graph.)
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