Short Answer 
The coordinate system consists of four quadrants based on the signs of x and y coordinates. For the conditions x > 0 and y < 0, the point lies in Quadrant IV, where x is positive and y is negative.
Step 1: Understand the Coordinate System
The coordinate system is divided into four quadrants based on the signs of the x and y coordinates. Each quadrant has specific characteristics determined by whether x and y are positive or negative. The quadrants are defined as follows:
- Quadrant I: x > 0, y > 0
- Quadrant II: x < 0, y > 0
- Quadrant III: x < 0, y < 0
- Quadrant IV: x > 0, y < 0
Step 2: Identify the Condition Given
The problem states that x > 0 and y < 0. This means we are looking for a point in the coordinate system where the x-coordinate is positive and the y-coordinate is negative. Such points are crucial for determining the quadrant in which the point lies.
Step 3: Locate the Point in Quadrant IV
Given the conditions identified in Step 2, we can conclude that the point (x, y) is located in Quadrant IV. In this quadrant, all points have a positive x-coordinate while the y-coordinate is negative, making it the only quadrant that matches the given conditions.