College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding - Page 179: 88


slope is undefined; line has no y-intercept Refer to the image below for the graph.

Work Step by Step

RECALL: (1) The slope-intercept form of a line's equation is: $y=mx+b$ where $m$ = slope and $b$ = y-intercept (2) A vertical line has an undefined slope. The equation of the line is in the form $x=h$ where $h$ is the x-intercept. Every point on this line has an x-coordinate of $x=h$. Thus, the given equation $x=2$ is a vertical line with an undefined slope and an x-intercept of $2$. Since the line is vertical with an x-intercept of $-4$, the line has no y-intercept. To graph the line, perform the following steps: (1) Plot the x-intercept point $(2, 0)$. (2) Plot another point with an x-coordinate of $2$. (3) Complete the graph by connecting the two points using a straight line. (refer to the attached image in the answer part above for the graph)
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