Answer: Third quadrant
This can be written as Q3 or QIII
This quadrant is in the southwest.
===========================================
Explanation:
There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.
- The first quadrant Q1 is located in the northeast where x > 0 and y > 0. Both x and y are positive together. An example point from this region would be something like (5,2)
- The second quadrant, Q2 or QII, is in the northwest. An example point from here is (-5,2). We can see that x < 0 and y > 0.
- The third quadrant (Q3) is where both x and y are negative. So x < 0 and y < 0. An example point would be (-5,-2). This quadrant is in the southwest.
- Finally, if x > 0 and y < 0, then we're in the southeast quadrant Q4. An example point is (5,-2)
As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.
Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).
