A simple geometric formula for the division of line segment. Use this Division of line segment formula for dividing line segment in a given ratio. To find the point P that divides a segment AB into a particular ratio, determine the ratio k by writing the numerator over the sum of the numerator and the denominator of the given ratio. Next, find the rise and the run (slope) of the line. This process is summarized with the following Dividing Line Segment in a Given Ratio Formula.
The above Division of line segment formula tells us the coordinates of the point which divides the given line segment into two parts.