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: 72

Answer

The graphs of the two equations are not 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: $y+8=-6x \\y+8-8=-6x-8 \\y=-6x-8$ Second Equation: $-2x+y=5 \\-2x+y+2x=5+2x \\y=5+2x \\y=2x+5$ Note that the two equations have different slopes. Thus, their graphs are not parallel lines.
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