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: 70


see graph

Work Step by Step

$\bf{\text{Solution Outline:}}$ To graph the line with the given characteristics: \begin{array}{l}\require{cancel} y\text{-intercept: } (0,-4) \\ m=-\dfrac{3}{2} .\end{array} start with the given point. Then use the slope as $rise$ over $run$ to get a second point. $\bf{\text{Solution Details:}}$ Using the concept of slope as $rise$ over $run$, a slope of $ -\dfrac{3}{2}=\dfrac{-3}{2} $ means that from the given point, $ (0,-4) ,$ move $ 3 $ units down and $ 2 $ units to the right to get the next point. Hence, the second point is \begin{array}{l}\require{cancel} (2,-7) .\end{array} Connect these points to get the graph of the line.
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