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 R - Elementary Algebra Review - R.3 Introduction to Graphing - R.3 Exercise Set: 44

Answer

parallel

Work Step by Step

Using $y=mx+b$ where $m$ is the slope, the slope of the first equation, \begin{array}{l}\require{cancel} 2x+y=3 \\\\ y=-2x+3 \end{array} is $m_1= -2 .$ Using $y=mx+b$ where $m$ is the slope, the slope of the second equation, \begin{array}{l}\require{cancel} y=4-2x \\\\ y=-2x+4 \end{array} is $m_2= -2 .$ Since $m_1=m_2,$ then the given lines are $\text{ parallel .}$
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