Intermediate Algebra (12th Edition)

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

Chapter 2 - Summary Exercises - Finding Slopes and Equations of Lines: 6

Answer

$m=-\dfrac{4}{7}$

Work Step by Step

Using the properties of equality, the given equation, $ 4x+7y=3 $ is equivalent to \begin{array}{l}\require{cancel} 7y=-4x+3 \\\\ y=-\dfrac{4}{7}x+\dfrac{3}{7} .\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{4}{7} .\end{array}
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