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 R - Elementary Algebra Review - R.3 Introduction to Graphing - R.3 Exercise Set: 23

Answer

$\text{Slope: } -\dfrac{2}{7} \\\text{$y$-intercept: } \dfrac{1}{7}$

Work Step by Step

The given equation is equivalent to \begin{array}{l}\require{cancel} 2x+7y=1 \\\\ 7y=-2x+1 \\\\ \dfrac{7y}{7}=\dfrac{-2}{7}x+\dfrac{1}{7} \\\\ y=-\dfrac{2}{7}x+\dfrac{1}{7} .\end{array} Using $y=mx+b$ (where $m$ is the slope and $b$ is the $y$-intercept) or the Slope-Intercept Form of linear equations, then the equation, $ y=-\dfrac{2}{7}x+\dfrac{1}{7} ,$ has the following properties: \begin{array}{l}\require{cancel} \text{Slope: } -\dfrac{2}{7} \\\text{$y$-intercept: } \dfrac{1}{7} .\end{array}
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