Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-3 Linear Functions and Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 79: 45



Work Step by Step

You are given $2.4=-3.6x-0.4y$. To easily graph, you want to get $y$ all by itself on the left of the equals sign so that the equation will resemble $y=mx+b$. You can start to do this by adding $0.4y$ to both sides of the equation: $2.4+0.4y=-3.6x$. Next, subtract $2.4$ from both sides: $0.4y=-3.6x-2.4$. Now, Simply divide everything by $0.4$ to isolate $y$: $y=-9x-6$. Since your equation is now in $y=mx+b$ format, it will be easy to graph. Your y-intercept is $b=-6$. Your slope is $m =-9$ meaning your next point will be 9 down the y axis and 1 to the right along the x axis from the previous point.
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