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: 70


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: $y=2x-1$ Second Equation: $2y-4x=7 \\2y-4x+4x=7+4x \\2y=4x+7 \\\frac{2y}{2}=\frac{4x+7}{2} \\y=2x+\frac{7}{2}$ Note that both equations have the same slope $m=2$ . Since they have the same slope, then their graphs are parallel lines.
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