Question

Show that the following points are collinear:

A(2, –2), B(–3, 8) and C(–1, 4)

Answer 1

`"Let " A(x_1=2,y_1=-2) B (x_2=-3, y_2=8) and C(x_3=-1,y_3=4)` be the given points.

`No w ,  x_1 (y_1-y)3)+x_2(y_3-y_1) + x_3(y_1-y_2)`

=2(8-4)+(-3)(4+2)+(-1)(-2-8)

=8-18+10

=0

Hence, the given points are collinear.