Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Review Exercises: 26

Answer

$\text{Slope-Intercept Form: } y=-2 \\\text{Standard Form: } y=-2$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To find the equation of the line with the following properties: \begin{array}{l}\require{cancel} \text{Slope: } 0 \\\text{$y$-intercept: } (0,-2) ,\end{array} use the Slope-Intercept Form of linear equations. Give the equation in the Slope-Intercept Form and in the Standard Form. $\bf{\text{Solution Details:}}$ With the given properties, then $ m=0 $ and $ b=-2 .$ 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 of the line is \begin{array}{l}\require{cancel} y=mx+b \\\\ y=0x+(-2) \\\\ y=-2 .\end{array} Using the properties of equality, in the form $ax+by=c$ or the Standard Form, the equation above is equivalent to \begin{array}{l}\require{cancel} y=-2 .\end{array} The equation of the line is \begin{array}{l}\require{cancel} \text{Slope-Intercept Form: } y=-2 \\\text{Standard Form: } y=-2 .\end{array}
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