Question

Show that the points A(0,1), B(2,3) and C(3,4) are collinear

Answer 1

let
A(0,1)=(x1,y1)
B(2,3)=(x2,y2)
C(3,4)=(x3,y3)
slope of line AB=y2-y1÷x2-x1
=3-1÷2-0
=2÷2
=1. .........(1)
slope of line BC=y3-y2÷x3-x2
=4-3÷3-2
=1÷1
=1. ........(2)
from (1),(2)
slope of line AB= slope of line BC
.
. . points A,B and C are collinear.

Answer 2

TO PROVE THAT THE POINTS  ARE Collinear

HOPE THIS WILL HELP YOU.