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: 31

Answer

$m=2$

Work Step by Step

To find the slope of the line that passes through the points in the table, use the slope formula: $m=\frac{{y_{2}}-{y_{1}}}{{x_{2}-x_{1}}}$ Calculate the slope between each pair of points to find out if the slope is constant. The first pair of points is: $(0,7)$ and $(2,11)$ Substitute: $m=\frac{11-7}{2-0}=2$ The second pair of points is: $(2,11)$ and $(4,15)$ Substitute: $m=\frac{15-11}{4-2}=2$ The third pair of points is: $(4,15)$ and $(6,19)$ Substitute: $m=\frac{19-15}{6-4}=2$ The slope is constant between each pair of points, so the slope of the line that passes through these points is 2.
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