Question

In the Cartesian coordinate system, which quadrant contains the point named by (5.-2)
Quadrant II
Quadrant Iv
Quadrant I
Quadrant III

Answer 1

To determine which quadrant the point (5, -2) is located in, we can look at the signs of the x and y coordinates.

- The x-coordinate is 5, which is positive.
- The y-coordinate is -2, which is negative.

In the Cartesian coordinate system:
- **Quadrant I** contains points where both coordinates are positive (x > 0, y > 0).
- **Quadrant II** contains points where the x-coordinate is negative and the y-coordinate is positive (x < 0, y > 0).
- **Quadrant III** contains points where both coordinates are negative (x < 0, y < 0).
- **Quadrant IV** contains points where the x-coordinate is positive and the y-coordinate is negative (x > 0, y < 0).

Since (5, -2) has a positive x-coordinate and a negative y-coordinate, it is located in **Quadrant IV**.