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: 8

Answer

$\text{x-intercept}=8$ $\text{y-intercept}=4$

Work Step by Step

$3x+6y=24$ To find the x-intercept, we substitute $0$ for $y$ and then solve for $x$ $3x+6(0)=24$ $\implies 3x=24$ $\implies x=\frac{24}{3}=8$ To find the y-intercept, we substitute $0$ for $x$ and then solve for $y$. $3(0)+6y=24$ $\implies 6y=24$ or $y=\frac{24}{6}=4$
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