Big Ideas Math - Algebra 1, A Common Core Curriculum

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: 52

Answer

$k=-12$

Work Step by Step

The slope-intercept form is $y=mx+b$. Comparing this with $y=-\frac{1}{3}x+\frac{5}{6}k$, we get $b=\frac{5}{6}k$. Given that $b=-10$. $\implies \frac{5}{6}k=-10$ or $k=\frac{-10\times6}{5}=-12$
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