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: 10


\begin{array}{l}\require{cancel} \\\text{Slope-Intercept Form: } y=-\dfrac{2}{3}x+2 \\\text{Slope: } -\dfrac{2}{3} \end{array}

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 is equivalent to: \begin{align*} 6y&=-4x+12 \\\\ \dfrac{6y}{6}&=\dfrac{-4x+12}{6} \\\\ y&=\dfrac{-4}{6}x+\dfrac{12}{6} \\\\ y&=-\dfrac{2}{3}x+2 \end{align*} Using $y=mx+b$ (where $m$ is the slope) then the given equation has the following properties \begin{array}{l}\require{cancel} \\\text{Slope-Intercept Form: } y=-\dfrac{2}{3}x+2 \\\text{Slope: } -\dfrac{2}{3} \end{array}
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