2026 NYGH P1 Q6
2026 NYGH P1 Q6
IP 4
6 marks
The variables \(x\) and \(y\) are related by the equation \(y=\dfrac{a}{x}+bx\).
A graph of \(xy\) against \(x^2\) is plotted and a straight line is obtained.
This straight line passes through the points \((1,3)\) and \((-2,12)\).
- Find the value of \(a\) and of \(b\).[4]
- The point \((4,k)\) lies on the straight line. Find the value of \(k\).[2]
Solution:
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Answer:(a) \(a=6,\ b=-3\) (b) \(k=-6\)
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