Coordinates of Points Externally/Internally Calculator

Calculator

Please enter the values for point A and B (coordinates) and a specified ratio m and n

Point	X-axis	Y-axis
A:	x1	y1
B:	x2	y2

Ratio :
m	n

Calculator find the coordinates of point p which divides the line joining two Entered points A and B internally or externally, in a specified ratio m and n. Coordinates of point is a set of values that is used to determine the position of a point in a two dimensional plane.

Types

Internally divided line segment
Externally divided line segment

Fig: Point P dividing segment AB. Note how the ratio changes as P moves.

Internally divided line segment:

The given coordinates forms a line AB where point P(x_p, y_p) lies outside of the line segment AB. It can divide the AB externally as showing below:

Coordinates of Points Internally

Formula (Internally division of a line segment)

$$( \frac {mx_{\,2} + nx_{\,1} }{m + n},\frac {my_{\,2} + ny_{\,1} }{m + n} ) $$

Externally divided line segment:

The given coordinates forms a line AB where point P(x_p, y_p) lies on the line segment AB joining Point P. It is showing bellow:

Coordinates of Points Externally

Formula (Externally division of a line segment)

$$( \frac {mx_{\,2} - nx_{\,1} }{m - n},\frac {my_{\,2} - ny_{\,1} }{m - n} ) $$