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: 33

Answer

$m=-7$

Work Step by Step

To find the slope of the line that passes through the points in the table, use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Calculate the slope between each pair of points to find out if the slope is constant. The first pair of points is: (-2,29) and (0,15) Substitute: $m=\frac{15-29}{0-(-2)}=-7$ The second pair of points is: (0,15) and (2,1) Substitute: $m=\frac{1-15}{2-0}=-7$ The third pair of points is: (2,1) and (4,-13) Substitute: $m=\frac{-13-1}{4-2}=-7$ The slope is constant between each pair of points, so the slope of the line that passes through these points is $-7$
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