Final answer:
The point (x, y) with x > 0 and y < 0 is located in the bottom right quadrant of the Cartesian coordinate system, where the x-axis points to the right (positive x) and the y-axis extends downward (negative y).
Step-by-step explanation:
If x > 0 and y < 0, the point (x, y) is located in the bottom right quadrant of the Cartesian coordinate system. This system is delineated by a horizontal x-axis and a vertical y-axis, intersecting at the origin (0,0). Points to the right of the origin have positive x-values, while those above have positive y-values. Hence, a position with an x-value greater than zero will be to the right side of the coordinate system, and a y-value less than zero will be below it, combining to place the point in the bottom right.
Graph paper provides an excellent way to visualize this concept. If a fly were to start from a point 10.0 cm to the right and 8.0 cm above the lower left corner (the origin), and moved to a point 5.0 cm from the left edge and 5.0 cm from the bottom edge, we'd see that the fly has moved to the left and downwards, which aligns with the negative x and y directions in the coordinate system.
Reference to Directional Movement in the Coordinate System
- Vertically upward in the coordinate system is associated with positive y values.
- Vertically downward in the coordinate system aligns with negative y values.
- Horizontally to the right side of the coordinate system syncs with positive x values.
- Horizontally to the left side of the coordinate system corresponds to negative x values.