## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

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

#### Answer

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

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.