Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.3 Fundamentals of Graphing and Slope - 1.3 Exercises: 32

Answer

$m=\frac{7}{2}$

Work Step by Step

To find the slope of the line that passes through the points in the table, use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{1}-x_{2}}$ Calculate the slope between each pair of points to find out if the slope is constant. The first pair of points is: (-4,-18) and (0,-4) Substitute: $m=\frac{-4-(-18)}{0-(-4)}=\frac{14}{4}=\frac{7}{2}$ The second pair of points is: (0,-4) and (4,10) Substitute: $m=\frac{10-(-4)}{4-0}=\frac{14}{4}=\frac{7}{2}$ The third pair of points is: (4,10) and (8,24) Substitute: $m=\frac{24-10}{8-4}=\frac{14}{4}=\frac{7}{2}$ The slope is constant between each pair of points, so the slope of the line that passes through these points is $\frac{7}{2}$
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