Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 1 - Linear Functions - 1.1 Slopes and Equations of Lines - 1.1 Exercises: 14

Answer

$$-\frac{1}{4}$$

Work Step by Step

The equation of the line given by $$8x=2y-5$$ can be rewritten as $$2y=8x+5$$ or $$y=4x+\frac{5}{2}$$ The equation of a line in slope-intercept form is $$y=mx+b$$ where $m$ is the slope and $b$ is the y-intercept. For this line the slope is $$m=4$$ For a line perpendicular to the original, the slope is the negative reciprocal $$m=-\frac{1}{4}$$
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