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: 127

Answer

(a) $x=3$. (b) $x-3=0$ (c) Refer to the attached image for the graph.

Work Step by Step

(a) RECALL: The equation of a vertical line is $x=a$ where $a$ is the x-intercept. All the points in this line has an x-coordinate of $a$. Thus, the equation of a vertical that passes through the point $(3, -2)$ is $\color{blue}x\color{blue}=\color{blue}3$. (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: $x-3=0$ (c) To graph the line, plot the points (3, 2), (3, 0), and (3, -2) then connect them using a line. (Refer to the attached image in the answer part for the graph)
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