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 - Review Exercises: Chapter 3: 49

Answer

The lines are parallel to each other.

Work Step by Step

RECALL: (1) Parallel lines have the same slope. (2) Perpendicular lines have slopes whose product is $-1$ (negative reciprocals of each other). (3) The slope-intercept form of a line's equation is $y=mx + b$ where $m$=slope and $(0, b)$ is the line's y-intercept. Write both equations in slope-intercept form to obtain: First Equation: $3x-5=7y \\\frac{3x-5}{7}=\frac{7y}{7} \\\frac{3}{7}x-\frac{5}{7}=y \\y=\frac{3}{7}x-\frac{5}{7}$ The slope of this line is $\frac{3}{7}$. Second Equation: $7y-3x=7 \\7y-3x+3x=7+3x \\7y=7+3x \\7y=3x+7 \\\frac{7y}{7}=\frac{3x+7}{7} \\y=\frac{3}{7}x+1$ The slope of this line is $\frac{3}{7}$. Since the two lines have the same slope, then they are parallel to each other.
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.