Question

Name the quadrant or axis where each point lies.
(5, 2):
(-3, -2):
(0, 5):
(6, -6):

Answer 1

To determine the location of each point, we can analyze their coordinates based on the Cartesian coordinate system where:

- Quadrant I: \( (x > 0, y > 0) \)
- Quadrant II: \( (x < 0, y > 0) \)
- Quadrant III: \( (x < 0, y < 0) \)
- Quadrant IV: \( (x > 0, y < 0) \)
- The x-axis: points where \( y = 0 \)
- The y-axis: points where \( x = 0 \)

Now, let's categorize the given points:

1. **(5, 2)**:
- \( x = 5 \) (positive), \( y = 2 \) (positive)
- This point lies in **Quadrant I**.

2. **(-3, -2)**:
- \( x = -3 \) (negative), \( y = -2 \) (negative)
- This point lies in **Quadrant III**.

3. **(0, 5)**:
- \( x = 0 \) (on the y-axis), \( y = 5 \) (positive)
- This point lies on the **y-axis**.

4. **(6, -6)**:
- \( x = 6 \) (positive), \( y = -6 \) (negative)
- This point lies in **Quadrant IV**.

To summarize:
- (5, 2): Quadrant I
- (-3, -2): Quadrant III
- (0, 5): y-axis
- (6, -6): Quadrant IV