Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.3 - Writing Equations of Lines - 2.3 Exercises - Page 173: 35

Answer

(a) $y=\frac{4}{5}x-4$ (b) $slope=m=\frac{4}{5}$ (c) $y-intercept=b=-4$; point $(0,-4)$ (d) See graph.

Work Step by Step

(a) A line in slope-intercept form has the equation: $y=mx+b$ ($m=slope$, $b=y-intercept$) We put the equation into slope-intercept form: $4x-5y=20$ $-5y=20-4x$ $-5y=-4x+20$ $y=\frac{4}{5}x-4$ (b) We see that $slope=m=\frac{4}{5}$ (c) We see that $y-intercept=b=-4$; point $(0,-4)$ (d) See graph.
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.