Intermediate Algebra (12th Edition)

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

Chapter 2 - Section 2.2 - The Slope of a Line - 2.2 Exercises - Page 159: 55


$m= -\dfrac{1}{2} $

Work Step by Step

$\bf{\text{Solution Outline:}}$ To find the slope of the given equation, $ x+2y=4 ,$ convert to the Slope-Intercept Form. Then use a table of values to graph the line. $\bf{\text{Solution Details:}}$ Using the properties of equality, in the form $y=mx+b,$ the equation above is equivalent to \begin{array}{l}\require{cancel} 2y=-x+4 \\\\ \dfrac{2}{2}y=-\dfrac{1}{2}x+\dfrac{4}{2} \\\\ y=-\dfrac{1}{2}x+2 .\end{array} Using $y=mx+b$ or the Slope-Intercept Form, where $m$ is the slope, then the slope of the equation above is \begin{array}{l}\require{cancel} m= -\dfrac{1}{2} .\end{array} Graph the equation using the table of values below.
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