| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2019 |
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| Session | November |
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| Topic | Chain Rule |
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6 A straight line has gradient \(m\) and passes through the point ( \(0 , - 2\) ). Find the two values of \(m\) for which the line is a tangent to the curve \(y = x ^ { 2 } - 2 x + 7\) and, for each value of \(m\), find the coordinates of the point where the line touches the curve.