Intermediate Algebra (6th Edition)

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

Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set: 81a

Answer

the slope is $2.9$ and the $y$-intercept is $75$

Work Step by Step

Using $y=mx+b$ or the Slope-Intercept Form of linear equations where $m$ is the slope and $b$ is the $y$-intercept, the given equation, $ 29x-10y=-750 ,$ is equivalent to \begin{array}{l}\require{cancel} -10y=-29x-750 \\ y=\dfrac{-29x}{-10}-\dfrac{750}{-10} \\ y=2.9x+75 .\end{array} Hence, $\text{ the slope is $2.9$ and the $y$-intercept is $75$ }.$
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