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)