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 - Page 13: 8

Answer

$$-\frac{4}{7}$$

Work Step by Step

The equation $$4x+7y=1$$ can be rewritten as $$7y=-4x+1$$ $$y=-\frac{4}{7}x+\frac{1}{7}$$ The equation of a line in slope-intercept form is $$y=mx+b$$ where $m$ is the slope and $b$ is the y-intercept. Therefore, $$m=-\frac{4}{7}$$
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