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Coordinates of the Point Dividing a Segment in a Given Ratio
## Formula
If $$p$$ divides $$AB$$ internally in the ratio $$m:n$$:
$$\frac{AP}{PB}=\frac mn$$
then:
$$P=\frac{mB+nA}{m+n}$$
## Usage
- Used as a compact vector-style representation of the section formula.
