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

Answer

Refer to the graph below.
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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.)
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