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How to find coordinates of a point using ratio

How to find coordinates of a point using ratio-example-1

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m1=3, m2= 1

point A= (-5,4)

point B=(7,-2)

x=m1x2+m2x1/ m1+m2 , y=m1y2+m2y1 / m1+m2

x= 3×7 +1×-5/3+1 , y= 3×-2+1×4 / 3+1

x= 21-5/4, y= -6+4/4

x= 16/4, y= -2/4

x= 4, y= 0.5

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