Question

find k if the point (2,3) ,(-1,k) ,(5,8) arr collinear​

Answer 1

Answer:

I hope this is a right answer

Answer 2

Answer:

The value of k = -2

Step-by-step explanation:

Given points  (2,3) (-1,k) (5,8)  are collinear  

let given points be   A(2,3)   B(-1,k)   C(5,8)  

∵ ABC are collinear points

    ⇒  slope AB = slope BC

   ⇒  $[ \frac{k-3}{-1-2} ]$  =   $[\frac{8-k}{5-(-1)}]$    

   ⇒   $\frac{(k-3)}{(-3)} = \frac{8-k}{6}$  

   ⇒ 6(k-3) = -3(8-k)

   ⇒ 6k -18 = -24 +3k    

   ⇒  6k-3k = -24+18

   ⇒     3k = - 6

   ⇒       k = -2