Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.10 - Lines - 1.10 Exercises - Page 114: 8

Answer

The lines are perpendicular because one is a vertical line and the other is a horizontal line.

Work Step by Step

RECALL: A horizontal line is perpendicular to a vertical line. The line $y=-3$ contains any point of the form $(x, -3)$, where x is a real number. This means that the line contains the points (-1, -3), (0, -3) and (1, -3). Plot these points then connect them using a line. (refer to the attached image above) The line $x=-3$ contains any point of the form $(-3, y)$, where y is a real number. This means that the line contains the points (-3, -1), (-3, 0), and (-3, 1). Plot these points then connect them using a line. (refer to the attached image above)
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