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Question

If the points (-3,6), (-9,a) and (0,15) are collinear, then find a.

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Solution


Let the given points be A(-3,6), B(-9,a) and C(0,15).
Slope of AB = a69+3=6a6

Slope of BC = a1590=15a9

Since the points A, B and C are collinear.
Slope of AB = Slope of BC
6a6=15a9

183a=302a
a=12


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