Question

find value of K for which the point (4, -2), (5, 1), (3, K) are collinear ​

Answer 1

Answer:

Suppose A(4,-2)  B(5,1)  C(3,K)

since the points are collinear their slopes are equal

⇒ slope off AB= BC=CA

⇒  AB=CA

⇒ 1+2/5-4 =  k+2/3-4

⇒ 3/1 = k+2/-1

⇒ k+2 = -3

⇒ k= -5