2025 IGCSE 0580 May/June P21 Q11

2025 IGCSE 0580 May/June P21 Q11

5 marks

The diagram shows the graph of \(y=\mathrm{f}(x)\) and the point \(P(-2,11)\).

The tangent from \(P\) touches the graph of \(y=\mathrm{f}(x)\) at the point \((a,b)\).

The values of \(a\) and \(b\) are integers.

  1. By drawing this tangent, find the value of \(a\) and the value of \(b\).[2]
  2. Find the equation of the tangent.
    Give your answer in the form \(y=mx+c\).[3]

Solution:

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Answer:(a) \(a=1,\ b=2\), with tangent drawn. (b) \(y=-3x+5\).

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