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 3 - Introduction to Graphing - 3.6 Slope-Intercept Form - 3.6 Exercise Set - Page 209: 15


Refer to the graph below.

Work Step by Step

The slope is rise over run. Thus, the given line has a rise of $5$ and a run of $3$. To graph the line, perform the following steps: (1) Plot the y-intercept $(0, -2)$. (2) From $(0, -2)$, move 5 units up (the rise) and 3 units to the right (the run) to reach $(3, 3)$. Plot $(3, 3)$. (3) The slope $\frac{5}{3}$ is equivalent to $\frac{-5}{-3}$, so the rise can be $-5$ and the run $-3$. From $(0, -2)$, move 5 units down and 3 units to the left to reach $(-3, -7)$. Plot $(-3, -7)$. (4) Connect the three points using a line to complete the graph. Refer to the attached image in the answer part above for the graph.
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