Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.4 - Linear Functions and Slope - Exercise Set: 18

Answer

slope = $\frac{7}{5}$ The line through the points rises from left to right.

Work Step by Step

RECALL: The slope of the line that passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$ Solve for the slope of the line that passes through the two given points using the formula above to obtain: $m=\dfrac{5-(-2)}{2-(-3)}=\dfrac{5+2}{2+3}=\dfrac{7}{5}$ A line with a positive slope rises from left to right.
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