Algebra 2 Common Core

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

Chapter 2 - Functions, Equations, and Graphs - Mid-Chapter Quiz - Page 89: 8


Slope-Intercept Form: $y=4x-2$ Slope: $m=4$

Work Step by Step

Using the properties of equality, in the form $y=mx+b$ (or the Slope-Intercept Form of Linear Equations), the given equation, $ 4x=2+y ,$ is equivalent to \begin{align*} 4x-2&=2+y-2 \\ 4x-2&=y \\ y&=4x-2 .\end{align*} Since $m$ is the slope in $y=mx+b,$ then the slope, $m,$ of the equation above, $y=2x-9,$ is \begin{align*} m=4 .\end{align*}
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