show that the points (4,3),(2,0) and (-4,-9) are colinear
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Step-by-step explanation:
Area when point are collinear is 0sq.units.
Area of triangle when coordinates of vertices are given =1/2[x1(y2-y3)+X2(y3-y1)+x3(y1-y2)]
Area=1/2[4(0-(-9)+2(-9-3)+(-4)(3-0)]
=1/2[(4(9)+2(-12)+(-4)(3)]
=1/2[36-24-12]
=1/2(36-36)=1/2(0).
Therefore, the given points are collinear.
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