So, the point P divides the line segment in the ratio 2 : 3. 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. The midpoint of a line segment is the point on the segment that is equidistant from the endpoints. The section formula builds on it and is a more powerful tool; it locates the point dividing the line segment in any desired ratio. Use this Division of line segment formula for dividing line segment in a given ratio. After having gone through the stuff given above, we hope that the students would have understood, "Example Problems Using Section Formula". A line segment with the endpoints A and B can be divided by another point into a given ratio and such ratio is the comparison of two numbers. The midpoint divides the line segment into two congruent segments.

Next, find the rise and the run (slope) of the line. Formula. PB = 5 - 2 = 3. The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m: n m:n m: n. The midpoint of a line segment is the point that divides a line segment in two equal halves. Input : x1 = 1, y1 = 0, x2 = 2 y2 = 5, m = 1, n = 1 Output : (1.5, 2.5) Explanation: co-ordinates (1.5, 2.5) divides the line in ratio 1 : 1 Input : x1 = 2, y1 = 4, x2 = 4, y2 = 6, m = 2, n = 3 Output : (2.8, 4.8) Explanation: (2.8, 4.8) divides the line in the ratio 2:3. A (1, 2) and B (6, 7) P = (2 (6) + 3 (1))/ (2 + 3), (2 (7) + 3 (2))/ (2 + 3) P = (15/5, 20/5) P = (3, 4) Hence the required point is (3, 4).