IP AMaths Notes (Upper Sec, Year 3-4): 06) Coordinate Geometry of Lines
In one line
Gradients, perpendicularity, and distance formula recap for line questions in IP Additional Mathematics.
Last updated 30 Nov 2025
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- Start Here
- 1 Essentials
- 2 Worked example - Perpendicular bisector
- 3 Worked example - Distance from point to line
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 06) Coordinate Geometry of Lines cover?
A: Gradients, perpendicularity, and distance formula recap for line questions in IP Additional Mathematics.
Linear coordinate geometry blends algebra with spatial reasoning. Track gradients and midpoints carefully and always label key coordinates on a sketch.
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These notes align with SEAB GCE O-Level Additional Mathematics (4049) content used in IP programmes (exams from 2025).
Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; still the reference for these notes.
Start Here
| Read time | What to take away |
| 1 second | Line geometry is gradients, distances, midpoints, and perpendicular relationships. |
| 10 seconds | Sketch and label the coordinates before calculating. Most errors come from using the wrong pair of points or forgetting a negative reciprocal. |
| 100 seconds | Example: for a perpendicular bisector, find the midpoint first, then use the negative reciprocal of the original gradient for the new line. |
1 Essentials
- Gradient between
