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: 42


The slope of the line is approximately $\dfrac{1}{2}$.

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 rises from left to right so its slope is positive. The line appears to pass through the points $(-2, 0)$ and $(0,1)$. We solve for the slope using the two points above and the slope formula: $m =\dfrac{1-0}{0-(-2)}=\dfrac{1}{2}$ Thus, the estimated value of the slope of the line is $\dfrac{1}{2}$.
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