Answer :

Here, given points are A (-2, 2) and B ( 3, 7) and let the point dividing the line joining two points be C(2,y).



Let the ratio be m:n


By section formula,


x = , y =


For point C(2,y),


2 = …(1)


And y = …(2)


Solving 1 for finding ratio between m and n,


2 =


2(m + n) = 3m -2n


2m + 2n = 3m – 2n


m = 4n


=


m : n = 4 : 1


Now solving for equation 2, where m = 4 and n = 1


y =


y =


y =


y =


y =6


Hence, our point is (2, 6)


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