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 - Monitoring Progress - Page 138: 8

Answer

Slope $m=-\frac{1}{4}$ and y-intercept $b=-\frac{5}{2}$.

Work Step by Step

The slope-intercept form is $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept. Given that $x+4y=-10$ which can be written as $y=-\frac{1}{4}x-\frac{5}{2}$. Comparing with the slope-intercept form, we get $m=-\frac{1}{4}$ and $b=-\frac{5}{2}$.
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