Subjects geometry

Coordinate Ordering 8D6567

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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.