Question

Find the value of k so that the points A(-2,3) , B(3,-1) and C(5,K) are all collinear .​

Answer 1

Step-by-step explanation:

Hey,

Thanks for asking this question.

Three collinear points are,

•A(-2,3) = (x1,y1)

•B(3,-1) = (x2,y2)

•C(5,k) = (x3,y3)

We know that given three points are collinear if and on if,

[x1(y2-y3) + x2(y3-y1) + x3(y1-y2)] = 0

=> [-2(-1-k) + 3(k-3) + 5{(3-(-1))}]= 0

=> [2(1+k) +3(k-3) + 5(3+1)] = 0

=> (2 + 2k + 3k - 9 + 20) = 0

=> 5k + 13 = 0

●=> k = -13/5

●●●Hope My Answer Helped.