Sure, let's analyze the ordered pairs one by one and determine their respective locations in the coordinate plane.
1. Point A (2,4):
- Coordinates are (2, 4).
- The x-coordinate (2) is positive and the y-coordinate (4) is also positive.
- Since both coordinates are positive, Point A is located in Quadrant I.
2. Point B (0,-3):
- Coordinates are (0, -3).
- The x-coordinate is 0 and the y-coordinate is negative.
- As the x-coordinate is 0, Point B lies on the Y-axis.
3. Point C (1,-1):
- Coordinates are (1, -1).
- The x-coordinate (1) is positive and the y-coordinate (-1) is negative.
- Since the x-coordinate is positive and the y-coordinate is negative, Point C lies in Quadrant IV.
4. Point D (3,3):
- Coordinates are (3, 3).
- Both the x-coordinate (3) and y-coordinate (3) are positive.
- Hence, Point D is located in Quadrant I.
5. Point E (-4,1):
- Coordinates are (-4, 1).
- The x-coordinate (-4) is negative and the y-coordinate (1) is positive.
- Therefore, Point E is located in Quadrant II.
6. Point F (2,0):
- Coordinates are (2, 0).
- The x-coordinate is positive (2) and the y-coordinate is 0.
- Since the y-coordinate is 0, Point F lies on the X-axis.
7. Point G (-3,-2):
- Coordinates are (-3, -2).
- Both coordinates, x (-3) and y (-2), are negative.
- Thus, Point G lies in Quadrant III.
8. Point H (-2,3):
- Coordinates are (-2, 3).
- The x-coordinate (-2) is negative and the y-coordinate (3) is positive.
- Hence, Point H is in Quadrant II.
9. Point I (0,2):
- Coordinates are (0, 2).
- The x-coordinate is 0 and the y-coordinate is positive (2).
- As the x-coordinate is 0, Point I is on the Y-axis.
10. Point J (-1,-4):
- Coordinates are (-1, -4).
- Both coordinates x (-1) and y (-4) are negative.
- Therefore, Point J is in Quadrant III.
Summarizing the results:
- A (2,4): Quadrant I
- B (0,-3): Y-axis
- C (1,-1): Quadrant IV
- D (3,3): Quadrant I
- E (-4,1): Quadrant II
- F (2,0): X-axis
- G (-3,-2): Quadrant III
- H (-2,3): Quadrant II
- I (0,2): Y-axis
- J (-1,-4): Quadrant III
