Section Formula Calculator

Find the coordinates of the point P that divides the line segment joining (x₁, y₁) and (x₂, y₂) in the ratio m:n.

Point A (x₁, y₁)

Point B (x₂, y₂)

Ratio (m:n)

Result

What is the Section Formula?

The section formula is used to find the coordinates of a point that divides a line segment into two parts such that their lengths are in the ratio m:n.

Internal Division Formula

x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)

External Division Formula

x = (mx₂ - nx₁) / (m - n)
y = (my₂ - ny₁) / (m - n)