Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX B - Coordinate Geometry and Lines - B Exercises - Page A 15: 19

Answer

The graph of the equation $~~xy = 0~~$ is a horizontal line that passes through the point $(0, 0)$ and a vertical line that passes through the point $(0,0)$ We can see the graph of the equation $~~xy = 0~~$ below.

Work Step by Step

If $~~xy=0,~~$ then $~~x=0~~$ or $~~y=0$ The graph of the equation $~~xy = 0~~$ is a horizontal line that passes through the point $(0, 0)$ and a vertical line that passes through the point $(0,0)$ Note that a horizontal line that passes through the point $(0, 0)$ is the graph of the equation $~~y=0~~$ and a vertical line that passes through the point $(0,0)$ is the graph of the equation $~~x=0$ We can see the graph of the equation $~~xy = 0~~$ below.
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