Answer
$k=\frac{1}{8}$
Work Step by Step
The slope-intercept form is
$y=mx+b$.
Given: $m=\frac{1}{2}$
Comparing it with $y=4kx-5$, we obtain
$m=4k$
$\implies 4k=\frac{1}{2}$ or $k=\frac{1}{2}\times\frac{1}{4}=\frac{1}{8}$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 3 - Graphing Linear Functions - 3.5 - Graphing Linear Equations in Slope-Intercept Form - Exercises - Page 144: 51
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