Question

if x > 0 and y < 0, where is the point (x, y) located?
quadrant i
quadrant ii
quadrant iii

Explanation:

Step1: Recall quadrant rules

In a Cartesian - coordinate system, in Quadrant I, $x>0$ and $y > 0$; in Quadrant II, $x<0$ and $y>0$; in Quadrant III, $x < 0$ and $y<0$; in Quadrant IV, $x>0$ and $y < 0$.

Step2: Match given conditions

We are given that $x>0$ and $y < 0$. This matches the conditions for Quadrant IV.

Answer:

The point $(x,y)$ is located in Quadrant IV.