Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Exercises - Page 135: 128

Answer

(a) $y=5$ (b) $y-5=0$ (c) Refer to the attached image below for the graph.

Work Step by Step

(a) RECALL: The equation of a horizontal line is $y=b$ where $b$ is the y-intercept. All the points in this line has a y-coordinate of $b$. Thus, the equation of a horizontal line whose y-intercept is $5$ is $\color{blue}y\color{blue}=\color{blue}5$. (b) The general equation of a line is $Ax + By + C = 0$, where A, B are not both zero. Thus, the general form of the vertical line's equation is: $y-5=0$ (c) To graph the line, plot the points (-2, 5), (0, 5), and (2, 5) then connect them using a line. (Refer to the attached image in the answer part for the graph)
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