show that the point A(4,2) B(7,5) C(9,7) are collinear
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A(4,,2),B(7,5),C(9,7)
Collinear points
AB=(4,2)(7,5),x
1
=4,y
1
=2
x
2
=7,y
2
=5
AB=
x
2
−x
1
y
2
−y
1
=
7−4
5−2
=
3
3
=1
BC=(7,5)(9,7)
= Same as use formula
=
9−7
7−5
=
2
2
=1
CA=(9,7)(4,2)
=
4−9
2−7
=
−5
−5
=1
Hence the
AB=BC=CA is collinear
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