College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises - Page 113: 65


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

Work Step by Step

RECALL: The graph of an equation in the form $x=h$ is a vertical line. It has an undefined slope and has $h$ as its x-intercept. All the points on the graph of this line have $h$ as their x-coordinate. Thus, the graph of $x=3$ is a vertical line, has an x-intercept of $3$, and all the points on the line have $3$ as their x-coordinate. Plot the x-intercept point $(3, 0)$. Plot another point whose x-coordinate is $3$. (e.g., $(3, 3)$). Then, connect the two points together using a straight line. (refer to the attached image in the answer part above) Note that the line has no y-intercept.
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