Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.6 - The Rectangular Coordinate System and Graphs - Exercises - Page 57: 13


It is located in the second quadrant or in the fourth quadrant.

Work Step by Step

First quadrant: $x\gt0$ and $y\gt0$ Second quadrant: $x\lt0$ and $y\gt0$ Third quadrant: $x\lt0$ and $y\lt0$ Fourth quadrant: $x\gt0$ and $y\lt0$ We have a point $(x,y)$ such that: $x+y=0,~~x\ne0,~~y\ne0$ $x=-y$ That is: - if $y\gt0$, then $x\lt0$ -> Second quadrant - if $y\lt0$, then $x\gt0$ -> Fourth quadrant
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