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: 18


Refer to the graph below.

Work Step by Step

The slope is rise over run. The slope $-\frac{4}{5}$ can be taken as $\frac{-4}{5}$, so the rise is $-4$ and the run is $5$. To graph the line, perform the following steps: (1) Plot the y-intercept $(0, 6)$. (2) From $(0, 6)$, move 4 units down (the rise) and 5 units to the right (the run) to reach $(5, 2)$. Plot $(5, 2)$. (3) The slope $-\frac{4}{5}$ is equivalent to $\frac{4}{-5}$ so the rise can be $4$ and the run $-5$. From $(0, 6)$, move 4 units up and 5 units to the left to reach $(-5, 10)$. Plot $(-5, 10)$. (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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