Find the ratio in which the point P(-1, y) line segment joining A ( -3,10) and B(6, -8) divides it. Also find the value of y.
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