The coordinates of points A and B are A (-10,-8) and B (80, 37). Which are the coordinates of a point that partitions segment AB in a ratio of 4:5?

Given that,

The coordinates of A = (-10,-8)

The coordinates of B = (80,37)

To find,

The coordinates of a point that partitions segment AB in a ratio of 4:5.

Solution,

Let the coordinate of required point is (x,y). We can use section formula to find it as follows :

The section formula is :

We have,

m₁ =4, m₂ = 5, x₁ = -10, x₂ = 80, y₁ = -8, y₂ = 37

Using all the values,

So, the required point in which AB is divided is (-10,12)