Question

What quadrant would (-5,2) be?

Answer 1

`"Quadrant II"`

Explanation:

`(-5, 2)`

First, we know that the quadrants are in counterclockwise order:

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

(desmos.com)

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

Hope this helps!