The points with coordinates `(3,-1) and (-1,3)` are at _______________ (same/different) positions of the coordinate plane.

Answer

To determine whether the points with coordinates (3, -1) and (-1, 3) are at the same or different positions on the coordinate plane, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Coordinates**: We have two points:
- Point A: (3, -1)
- Point B: (-1, 3)

2. **Plot the First Point (3, -1)**:
- Start at the origin (0, 0).
- Move 3 units to the right along the x-axis (since the x-coordinate is positive).
- Then move 1 unit down along the y-axis (since the y-coordinate is negative).
- This locates Point A in the fourth quadrant.

3. **Plot the Second Point (-1, 3)**:
- Again, start at the origin (0, 0).
- Move 1 unit to the left along the x-axis (since the x-coordinate is negative).
- Then move 3 units up along the y-axis (since the y-coordinate is positive).
- This locates Point B in the second quadrant.

4. **Compare the Positions**:
- After plotting both points, we can see that Point A (3, -1) is in the fourth quadrant, while Point B (-1, 3) is in the second quadrant.
- Since the points are located in different quadrants, they occupy different positions on the coordinate plane.

5. **Conclusion**:
- Therefore, the points (3, -1) and (-1, 3) are at **different** positions on the coordinate plane.

### Final Answer:
The points with coordinates (3, -1) and (-1, 3) are at **different** positions of the coordinate plane.

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