We know that, the coordinates of the point dividing the line segment joining the points x 1 ,y 1 and x 2 ,y 2 in the ratio m:n is given by ( m 1 +m 2 1 m 1 x 2 +m 2 x 1 , m 1 +m 2 m 1 y 2 +m 2 y 1 ) Given (x 1 ,y 1 )=(−1,7); (x 2 ,y 2 )=(4,−3) (m 1 ,m 2 )=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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