Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Review Exercises: 14

Answer

$m=\dfrac{2}{3}$

Work Step by Step

Using the properties of equality, the given equation, $ 3y=2x+5 $ is equivalent to \begin{array}{l}\require{cancel} y=\dfrac{2}{3}x+\dfrac{5}{3} .\end{array} Using $y=mx+b$ where $m$ is the slope, then the slope, $m$, of the equation above is \begin{array}{l}\require{cancel} m=\dfrac{2}{3} .\end{array} Since parallel lines have the same slope, then a line parallel to the equation above will also have $ m=\dfrac{2}{3} .$
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