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

Answer

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.