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: 66



Work Step by Step

$\bf{\text{Solution Outline:}}$ To find the slope and the graph of the given equation, $ 3x=4 ,$ use the slope and graph of lines in the form $x=a.$ $\bf{\text{Solution Details:}}$ In the form $x=a$ (where $a$ is a constant), the given equation is equivalent to \begin{array}{l}\require{cancel} \dfrac{3x}{3}=\dfrac{4}{3} \\\\ x=\dfrac{4}{3} .\end{array} Since lines of the form $x=a,$ have an undefined slope, then the slope of the line defined by the equation above is \begin{array}{l}\require{cancel} m=\text{undefined} .\end{array} The graph of lines in the form $x=a$ is a vertical line that passes through the $x$-axis at $a.$
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