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: 65

Answer

$m=0$
1513738607

Work Step by Step

$\bf{\text{Solution Outline:}}$ To find the slope and the graph of the given equation, $ 2y=3 ,$ use the slope and graph of lines in the form $y=b.$ $\bf{\text{Solution Details:}}$ In the form $y=b,$ the given equation is equivalent to \begin{array}{l}\require{cancel} 2y=3 \\\\ y=\dfrac{3}{2} .\end{array} Since lines of the form $y=b$ (where $b$ is a constant) have a slope of $0,$ then the slope of the line defined by the equation above is \begin{array}{l}\require{cancel} m=0 .\end{array} The graph of lines in the form $y=b$ is a horizontal line that passes through the $y$-axis at $b.$
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