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: 23

Answer

x-intercept: $(4, 0)$ y-intercept: $(0, -18)$

Work Step by Step

To find the x-intercept, set $y=0$ then solve for $x$: $9x-2y=36 \\9x-2(0)=36 \\9x=36 \\\frac{9x}{9}=\frac{36}{9} \\x=4$ Thus, the x-intercept of the graph of the given equation is $(4, 0)$. To find the y-intercept, set $x=0$ then solve for $y$: $9x-2y=36 \\9(0)-2y=36 \\-2y=36 \\\frac{-2y}{-2}=\frac{36}{-2} \\y=-18$ Thus, the y-intercept of the graph of the given equation is $(0, -18)$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.