Question

In which ratio, does the points P (2,-5) divide the line segment A (-3,5) and B (4,-9)​

Answer 1

Ratio m/n -

2 = (4m - 3n)/(m+n)

2(m+n) = (4m - 3n)

2m = 5n

m/n = 5/2

And

-5 = (-9m + 5n)/(m+n)

-5(m+n) = (-9m + 5n)

4m = 10n

m/n = 10/4 = 5/2