Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-5 Linear Inequalities - Practice and Problem-Solving Exercises - Page 395: 41



Work Step by Step

Since the form of the equation is $y > mx+b$, the graph would be shaded above the dotted line. If $m$ is positive, then (1,2) would be above the line while (3,2) is below the line. However, we are told (1,2) is not part of the solution set (while (3,2) is part of the solution set). Thus, the slope must be negative.
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