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: 102

Answer

The graph of the straight line is obtained as follows:

Work Step by Step

Find the slope using the given points \[\left( {{x}_{1}},{{y}_{1}} \right)=\left( -10,0 \right)\] and\[\left( {{x}_{2}},{{y}_{2}} \right)=\left( 0,-5 \right)\]. The slope of the line using the two points is calculated by the following formula: \[\begin{align} & m=\frac{{{y}_{1}}-{{y}_{2}}}{{{x}_{1}}-{{x}_{2}}} \\ & =\frac{0-\left( -5 \right)}{-10-0} \\ & =\frac{5}{-10} \\ & =-0.5 \end{align}\] The equation of the line is given in the slope-intercept form. From that equation, the slope of the line is \[-0.5\] Also, the slope of the line is calculated using the two points in the line is\[-0.5\].
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