Find the value of k if a(2, 3), b(5, k), c(6, 7) are collinear points.

1.	Find the value of k if a(2, 3), b(5, k), c(6, 7) are collinear points.
Answer» Given 3 points A(2,3), B(5,k) and C(6,7) which are collinear we have to find the value of k.Points are collinear if the slopes of any two pairs are equal.Slope of AB = y2 -y2/x2 - x1= k-3/5-2Slop of BC=\xa0y2 -y2/x2 - x1= 7-k/6-5As lines are collinear slopes are equal⇒k-3/5-2= 7-k/6-5⇒ k- 3= 2(7-k)⇒ k= 6The value of k is 6.\xa0

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