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 - 3.6 Slope-Intercept Form - 3.6 Exercise Set - Page 210: 71

Answer

The graphs of the two equations are parallel lines.

Work Step by Step

RECALL: (1) In the slope-intercept form of a line's equation, $y=mx+b$, $m$=slope and $b$ is the y-coordinate of the y-intercept. (2) Parallel lines have equal or the same slope. Write both equations in slope-intercept form to obtain: First Equation: $y+9=3x \\y+9-9=3x-9 \\y=3x-9$ Second Equation: $3x-y=-2 \\3x-y+y+2=-2+y+2 \\3x+2=y \\y=3x+2$ Note that both equations have the same slope $m=3$ . Since they have the same slope, then their graphs are parallel lines.
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.