Here given points are A (- 10, 4) and B (- 2, 0)and the points of other segment line are C (- 9,-4) and D (- 4, y)
Let the point of intersection between AB and CD be P
By midpoint formula.
x = \(\frac{x_1+x_2}2\), y = \(\frac{y_1+y_2}2\)
For midpoint of AB,
For point P on CD, where ratio is m:n,
∴ Ratio is 3:2
Now solving for y, where m = 3 and n = 2,
2 = \(\frac{3xy+2\times(-4)}{3+2}\)
∴ 3y -8 = 10
∴ 3y = 18
∴y = 6