Midpoint Formula
The midpoint formula is used to find the midpoint between two points whose coordinates are known to us. point in the middle/center of the line joining two points is called a midpoint. It is calculated using the midpoint formula. The midpoint formula can also be used to find the coordinates of the endpoint if we know the coordinates of either endpoint and midpoint is used. Let us explore the midpoint formula below along with solved examples.
What is Midpoint Formula?
The midpoint formula for the two known points whose coordinates are known to us can give us the coordinates of the midpoint quickly. Given two points A (x_{1}, y_{1}) and B (x_{2}, y_{2}), the midpoint between A and B is given by
\(M(x_3, y_3) = \left(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\right)\)
where M is the midpoint between A & B, and (x_{3},y_{3}) are its coordinates.

Example 1: Find the midpoint between points X (5, 3) and Y (7, 8), solve it by using the midpoint formula.
Solution:
Let M be the midpoint between X and Y.M = ((5 + 7)/2, (3 + 8)/2) = (6, 11/2)
Answer: The coordinates of the midpoint between X and Y is (6, 11/2).

Example 2: Midpoint R between the points P and Q has the coordinates (4, 6). If the coordinates of Q are (8, 10), then what are the coordinates for point P? Solve it by using the midpoint formula.
Solution:
Let x coordinate of P be m and y coordinate of P be n.
P = (m, n)
Q = (8, 10)
R = (4, 6)
By using the midpoint formula,R = ((m + 8)/2,(n + 10)/2) = (4, 6)
Solving for m,
(m + 8)/2 = 4
m + 8 = 8
m = 0Solving for n,
(n + 10)/2 = 6
n + 10 = 12
n = 2Therefore, coordinates of P are (0, 2).
Answer: Coordinates of P are (0, 2).