Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.6 Slope-Intercept Form - 3.6 Exercise Set - Page 209: 33


$\text{slope: } -2 ,\\\\\text{$y$-intercept: } 4$

Work Step by Step

Using the properties of equality, the given equation, $ 4x+2y=8 $, is equivalent to \begin{array}{l} 2y=-4x+8 \\\\ y=-\dfrac{4}{2}x+\dfrac{8}{2} \\\\ y=-2x+4 .\end{array} Using $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercept, then the equation above has the following characteristics: \begin{array}{l} \text{slope: } -2 ,\\\\\text{$y$-intercept: } 4 .\end{array}
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