Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.3 Lines - F.3 Assess Your Understanding - Page 29: 21

Answer

The slope of the line is undefined, which means the line is vertical. See the graph below.

Work Step by Step

The slope of the line that passes throught two points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$ Thus, the slope of the line passing through the two given points is: $m=\dfrac{-2-2}{-1-(-1)}=\dfrac{-4}{0} \text{ (undefiend)}$, therefore the line is vertical. To graph, plot both points then connect them using a straight line. Refer to the graph above.
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