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: 25

Answer

x-intercept: $(-20, 0)$ y-intercept: $(0, 16)$

Work Step by Step

To find the x-intercept, set $y=0$ then solve for $x$: $-4x+5y=80 \\-4x+5(0)=80 \\-4x=80 \\\frac{-4x}{-4}=\frac{80}{-4} \\x=-20$ Thus, the x-intercept of the graph of the given equation is $(-20, 0)$. To find the y-intercept, set $x=0$ then solve for $y$: $-4x+5y=80 \\-4(0)+5y=80 \\5y=80 \\\frac{5y}{5}=\frac{80}{5} \\y=16$ Thus, the y-intercept of the graph of the given equation is $(0, 16)$.
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.