Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.4 - Writing Equations of Lines - Problem Set 8.4 - Page 360: 34


Slope: $\frac{2}{3}$ Y-Intercept: $4$ See image for graph.

Work Step by Step

The $\text{slope-intercept}$ form of a linear equation is $y=mx+b$, where $m$ is the $\text{slope}$ and $b$ is the $y$-$\text{intercept}$. The given equation is $y=\frac{2}{3}x+4$. Since $\frac{2}{3}$ takes the place of the $m$, it is the $\text{slope}$. Since $4$ takes the place of $b$, it is the $y$-$\text{intercept}$. To graph this line, we make sure that it crosses the $y$-axis at $y=4$ and that the line goes up $2$ every time it goes 3 to the right.
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