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Prove that A(2, 0), B(5, 0) and C(3, 0) are collinear
points.
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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
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. . points A,B and C are collinear.
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