0606/23 May/Jun 2025, Question 3: Turning Curves into Straight Lines
Cambridge IGCSE Additional Mathematics 0606 · Paper 23 (Calculator) · Calculator · 4 marks
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The question, in short
A straight line through (2, 5) and (10, 21) is obtained when √y is plotted against x³. Find y in terms of x.
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Solution · 4 marks
- 1√y = mx³ + c
- 2m = (21 − 5)/(10 − 2) = 2
- 35 = 2(2) + c, so c = 1
- 4√y = 2x³ + 1
- 5y = (2x³ + 1)²
Answery = (2x³ + 1)²
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