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 1-4 - Cumulative Review - Page 301: 15


Refer to the graph below.

Work Step by Step

Solve for $y$ by dividing both sides of the equation by $3$: $\frac{3y}{3}=\frac{2x+9}{3} \\y=\frac{2}{3}x+3$ This means that the equation $3y=2x+9$ is equivalent to, and has the same graph as $y=\frac{2}{3}x+3$. The equation $y=\frac{2}{3}x+3$ has: slope = $\frac{2}{3}$ y-intercept: $(0, 3)$ To graph this equation, perform the following steps: (1) Plot the y-intercept $(0, 3)$. (2) Use the slope to plot a second point. From $(0, 3)$, move 2 units up (the rise) and 3 units to the right (the run) to reach the point $(3, 5)$. Plot $(3, 5)$. (3) Connect the two points using a line to complete the graph. (Refer to the graph in the answer part above.)
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.