About the Section Formula Calculator
Find the point dividing the segment between two points in the ratio m:n, internally or externally.
Also known as: section formula, internal division, external division, divide line segment in ratio, point dividing a line.
How to use this calculator
- Enter x₁, y₁, x₂, y₂ and the other fields.
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Open “Step-by-step” to see how the answer was worked out.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
P = ((m·x₂ + n·x₁)/(m + n), (m·y₂ + n·y₁)/(m + n))
Worked example
Using the values pre-filled in the calculator above:
- x₁ = 1
- y₁ = 2
- x₂ = 7
- y₂ = 8
- m = 1
- n = 2
- Division: Internal
the calculator returns:
- Point P: (3, 4)
Working
x = (1·7 + 2·1) ÷ (1 + 2) = 3y = (1·8 + 2·2) ÷ (1 + 2) = 4