Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.3 Lines - 1.3 Assess Your Understanding - Page 30: 24

Answer

The slope is undefined, which means that the line is vertical line. Refer to the graph below.

Work Step by Step

The slope of the line can be determined by the equation: $m=\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are two given points on the line. Here, we can substitute the coordiantes of the points $(2,0)$ and $(2,2)$ to obtain: $m=\dfrac{2-0}{2-2)}=\dfrac{2}{0}$ which is undefined. This means that the line is vertical. Plot the points and connect them using a line.
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