Answer :

Here, given points are A ( -3,10) and B(6, -8) and the point dividing the line joining two points is P(-1,y).

Let the ratio be m:n

By section formula,

x = , y =

For point P(-1,a),

-1 = …(1)

And y = …(2)

Solving 1 for finding ratio between m and n,

-1 =

- (m + n) = 6m -3n

m + n = -6m + 3n

7m = 2n


m : n = 2 : 7

Now solving for equation 2, where m = 2 and n = 7

y =

y =

y =

y =

value of y is

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