Prove that the points A(7, −2), B(5, 1), C(3, 4) are collinear.
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Step-by-step explanation:
A(7,-2), B(5,1) ,C(3,4)
by using slope formula for respective points
slope of AB=(1+2)/(5-7)=3/-2=-2/3
slope of BC=(4-1)/(3-5)=3/-2=-2/3
slope of AC=(4+2)/(3-7)=6/-4=-3/2
slope of any two points are same hence points A,B,C are collinear points
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