find the co-ordinates of the point which divides the join of a (-1,7) and b(4,-3) in the ratio of 2:3
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We know that, the coordinates of the point dividing the line segment joining the points (x1,y1) and (x2,y2) in the ratio m:n is given by (m1+m21m1x2+m2x1,m1+m2m1y2+m2y1)
Given (x1,y1)=(−1,7); (x2,y2)=(4,−3)
(m1,m2)=2:3
Coordinates of point of intersection of line segment is
(2+3(2)(4)+(3)(−1),2+3(2)(−3)+(3)(7))
=(5/5,15/5)
=(1,3)
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