# Chapter 9 - Inequalities and Problem Solving - 9.3 Absolute-Value Equations and Inequalities - 9.3 Exercise Set - Page 600: 93

$y=\dfrac{1}{3}x-2$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the Slope-Intercept form of linear equations to find the equation of the line with the given characteristics: \begin{array}{l}\require{cancel} \text{slope: } \dfrac{1}{3} \\\text{$y$-intercept: } (0,-2) .\end{array} $\bf{\text{Solution Details:}}$ Using $y=mx+b$ (where $m$ is the slope and $b$ is the $y$-intercept), then the equation of the line is \begin{array}{l}\require{cancel} y=mx+b \\\\ y=\dfrac{1}{3}x-2 .\end{array}

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