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 - 3.4 - Graphing Linear Equations in Standard Form - Exercises - Page 133: 9

Answer

$\text{x-intercept}=4$ $\text{y-intercept}=-2$

Work Step by Step

$-4x+8y=-16$ To find the x-intercept, we substitute $0$ for $y$ and then solve for $x$ $-4x+8(0)=-16$ $\implies -4x=-16$ $\implies x=\frac{-16}{-4}=4$ To find the y-intercept, we substitute $0$ for $x$ and then solve for $y$. $-4(0)+8y=-16$ $\implies 8y=-16$ or $y=\frac{-16}{8}=-2$
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