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 - Study Summary - Practice Exercises: 12

Answer

The graphs are not parallel.

Work Step by Step

RECALL: (1) The slope intercept form of a line's equation is $y=mx+b$, where $m$=slope and $(0, b)$ is the y-intercept. (2) Parallel lines have the same slope. Write both equations in slope-intercept form. First Equation: $y=4x-12$ Second Equation: $4y=x-9 \\\frac{4y}{4}=\frac{x-9}{4} \\y=\frac{1}{4}x-\frac{9}{4}$ The slopes are not the same, so the graphs of the two equations are not parallel.
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