Answer
$k=-1.$
Work Step by Step
By using the slope formula, the slope of the line is:
$m=\frac{y_2-y_1}{x_2-x_1}\\-1=\frac{2k-(-5)}{-4-k}\\-1(-4-k)=2k+5\\4+k=2k+5\\4=k+5\\k=-1.$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 2 Linear Equations and Functions - 2.2 Find Slope and Rate of Change - 2.2 Exercises - Skill Practice - Page 87: 39
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