Distance, midpoint and gradient of a line segment

Distance, midpoint and gradient of a line segment

Secondary 3
TGM Original Questions

The points \(P(-4,1)\) and \(Q(2,9)\) are joined by a line segment. Find (i) the length of \(PQ\), (ii) the midpoint of \(PQ\), (iii) the gradient of \(PQ\), (iv) the equation of the line \(PQ\).

Solution:

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Answer:(i) \(10\) units; (ii) \((-1,5)\); (iii) \(\dfrac{4}{3}\); (iv) \(3y=4x+19\).

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