1. **Problem statement:**
Given the number line with points B at -3, O at 0, I at 1, and A at 4, and the line \(\Delta\) defined by points (0, I).
2. **Part (a):**
- The line \(\Delta\) passes through points 0 and I (which is at 1).
- The coordinate of point A is \(4\).
- The coordinate of point B is \(-3\).
3. **Part (b):**
- Find points E and F such that their coordinates are \(\frac{5}{2} = 2.5\) and \(-1.5\) respectively.
4. **Part (c):**
- Arrange the coordinates of points A, B, E, and F in ascending order.
**Step-by-step solution:**
1. The coordinate of A is given as \(4\).
2. The coordinate of B is given as \(-3\).
3. The coordinate of E is \(2.5\).
4. The coordinate of F is \(-1.5\).
5. To arrange these in ascending order, list them from smallest to largest:
$$-3 < -1.5 < 2.5 < 4$$
So the order is: B, F, E, A.
---
**Final answers:**
- Coordinate of A: \(4\)
- Coordinate of B: \(-3\)
- Coordinates of E and F: \(2.5\) and \(-1.5\) respectively
- Ascending order of coordinates: \(-3, -1.5, 2.5, 4\) corresponding to points B, F, E, A respectively.
Coordinate Ordering 8D6567
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.