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: 100

Answer

The graph of the equation is obtained as follows:
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Work Step by Step

Calculate the slope using the given points \[\left( {{x}_{1}},{{y}_{1}} \right)=\left( 1.7,7.4 \right)\] and\[\left( {{x}_{2}},{{y}_{2}} \right)=\left( -1.49,1.02 \right)\]. The slope of a line using two points is calculated as follows: \[\begin{align} & m=\frac{{{y}_{1}}-{{y}_{2}}}{{{x}_{1}}-{{x}_{2}}} \\ & =\frac{7.4-1.02}{1.7-\left( -1.49 \right)} \\ & =\frac{6.38}{3.19} \\ & =2 \end{align}\] The equation of the line is given in the slope-intercept form. From that equation, the slope of the line is 2. Also, the slope of the line calculated using the two points in the line is 2. Hence, the result is verified.
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