IP AMaths Notes (Upper Sec, Year 3-4): 03) Linear Law
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Transform non-linear relationships into straight lines for graph paper work and regression checks in IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Standard transformations
- 2 Worked example - Power model
- 3 Worked example - Reciprocal model
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 03) Linear Law cover?
A: Transform non-linear relationships into straight lines for graph paper work and regression checks in IP AMaths.
Linear-law questions ask you to recast a model so plotting gives a straight line. Identify the transformation, compute plotting coordinates, and interpret the resulting gradient and intercept.
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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; remains the reference for this note.
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| Read time | What to take away |
| 1 second | Linear Law turns a curved model into a straight-line graph. |
| 10 seconds | Decide what to plot on each axis before calculating values. The gradient and intercept must translate back to the original constants. |
| 100 seconds | Example: for a power model y = A x^n, plot log(y) against log(x); the gradient gives n and the intercept gives log(A). |
1 Standard transformations
- Exponential form
