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Question
The points (−3, 2), (2, −1) and (a, 4) are collinear. Find a.
Solution
Given, points A(−3, 2), B(2, −1) and C(a, 4) are collinear.
∴ Slope of AB = Slope of BC
`(-1 - 2)/(2 + 3) = (4 + 1)/(a - 2)`
`(-3)/5 = 5/(a - 2)`
–3a + 6 = 25
–3a = 25 – 6 = 19
`a = (-19)/3 = -6 1/3`
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