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: 10

Answer

$\text{x-intercept}=3$ $\text{y-intercept}=-2$

Work Step by Step

$-6x+9y=-18$ To find the x-intercept, we substitute $0$ for $y$ and then solve for $x$ $-6x+9(0)=-18$ $\implies -6x=-18$ $\implies x=\frac{-18}{-6}=3$ To find the y-intercept, we substitute $0$ for $x$ and then solve for $y$. $-6(0)+9y=-18$ $\implies 9y=-18$ or $y=\frac{-18}{9}=-2$
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