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 14: 41


The slope of the line is approximately $-4$.

Work Step by Step

A line with a positive rises from left to right while a line with a negative slope falls from left to right. The given line falls from left to right so its slope is negative. The line contains the point $(0, 0)$ and appears to pass through the point $(1, -4)$. We solve for the slope using the two points above and the slope formula: $m =\dfrac{-4-0}{1-0}=\dfrac{-4}{1}=-4$ Thus, the estimated value of the slope of the line is $-4$.
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