What quadrant would (-5,2) be?

1 Answer
Jun 20, 2018

"Quadrant II"Quadrant II

Explanation:

(-5, 2)(5,2)

First, we know that the quadrants are in counterclockwise order:
enter image source here

Here are two ways you can find the quadrant:

1. Which value(s) is/are positive and negative :
(x, y) quadquadquadquadquad => "Quadrant I"
(-x, y) quadquadquad => "Quadrant II"
(-x, -y) => "Quadrant III"
(x, -y) quadquadquad=> "Quadrant IV"

In our coordinate, x is negative (-5) and y is positive (2), which fits (-x, y), meaning that this coordinate is in "Quadrant II".

2. Graphing
enter image source here
(desmos.com)

As you can see, our coordinate is indeed in "Quadrant II".

Hope this helps!