Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.4 - Linear Functions and Slope - Exercise Set - Page 215: 103


The graph thus obtained is as follows

Work Step by Step

We will calculate the slope at two points that are \[\left( {{x}_{1}},{{y}_{1}} \right)=\left( 1,-1.25 \right)\] and\[\left( {{x}_{2}},{{y}_{2}} \right)=\left( 4,1 \right)\] The slope of the line passing through the two points is calculated by the following formula: \[\begin{align} & m=\frac{{{y}_{1}}-{{y}_{2}}}{{{x}_{1}}-{{x}_{2}}} \\ & =\frac{-1.25-1}{1-4} \\ & =0.75 \end{align}\] The equation of the line is given in the slope-intercept form. From that equation, the slope of the line is\[0.75\] Also, the slope of the line calculated using the two points in the line is \[0.75\]
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