Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Review - Page 196: 61


$\text{slope: } \dfrac{2}{5} \\\text{$y-$intercept: } -\dfrac{4}{3} $

Work Step by Step

Using the properties of equality, the given equation, $ 6x-15y=20 ,$ is equivalent to \begin{array}{l} -15y=-6x+20 \\\\ y=\dfrac{-6}{-15}x+\dfrac{20}{-15} \\\\ y=\dfrac{2}{5}x-\dfrac{4}{3} .\end{array} Using $y=mx+b$ (or the Slope-Intercept Form), where $m$ is the slope and $b$ is the $y-$intercept, then the equation above has the following characteristics: \begin{array}{l} \text{slope: } \dfrac{2}{5} \\\text{$y-$intercept: } -\dfrac{4}{3} .\end{array}
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