Question

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?

Answer 1

Top Right

Explanation:

Answer 2

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 :

`(x,y)=((m_2x_1+m_1x_2)/(m_1+m_2),(m_2y_1+m_1y_2)/(m_1+m_2),)`

We have,

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

Using all the values,

`(x,y)=((5(-10)+4(-10))/(4+5),(5(-8)+4(37))/(4+5))\\\\=(-10,12)`

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