Intermediate Algebra (12th Edition)

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

Chapter 2 - Review Exercises: 12

Answer

$m=\dfrac{3}{4}$

Work Step by Step

Using the properties of equality, the given equation, $ 3x-4y=5 $ is equivalent to \begin{array}{l}\require{cancel} -4y=-3x+5 \\\\ y=\dfrac{-3}{-4}x+\dfrac{5}{-4} \\\\ y=\dfrac{3}{4}x-\dfrac{5}{4} .\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{3}{4} .\end{array}
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