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Question
The points (K, 3), (2, −4) and (−K + 1, −2) are collinear. Find K.
Solution
Given, points A(K, 3), B(2, −4) and C(−K + 1, −2) are collinear.
∴ Slope of AB = Slope of BC
`(-4 - 3)/(2 - k) = (-2 + 4)/(-k + 1 - 2)`
`(-7)/(2 - k) = 2/(-k - 1)`
7k + 7 = 4 − 2k
9k = −3
`k = (-1)/3`
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