Question

for what values of k are the points (8,1)(3,-2k)(k,-5) collinear?
Please solve it since i have seen similar questions but it hasnt helped me out

Answer 1

Given :-

x1 = 8 y1 = 1
x2 = 3 y2 = - 2k
x3 = k y 3 = - 5



Since it is given that point are collinear
So if points are collinear then their area will be always equal to Zero.


Using formula :-

$area = \frac{1}{2}(x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2))$

[ for solution refer to the attachment ]