Question

What quadrant is the coordinate (2,4) in?

Answer 1

For the Cartesian coordinate axes, we have the following depiction:


For quadrant `"I"`, the coordinates are both positive, i.e. you have `(x,y)` where `x,y > 0`. So, it is in the upper-right.

For quadrant `"II"`, you have `(x,y)` where `y > 0` but `x < 0`. So, it is in the upper-left.

For quadrant `"III"`, the coordinates are both negative, i.e. you have `(x,y)` where `x,y < 0`. So, it is in the lower-left.

For quadrant `"IV"`, you have `(x,y)` where `x > 0` but `y < 0`. So, it is in the lower-right.

---

Using that information, I'll bounce the question back to you: what quadrant is `(2,4)` in? For this, `x = 2` and `y = 4`; that is, `x` is two units to the right of `0`, and `y` is four units above `0`.