Midpoint between 2-points Calculator, Formula & Steps
midpoint between two points calculator - step by step calculation, formula & solved example to find the mid or middle point of 2 given endpoints of a line (x_{1}, y_{1}) & (x_{2}, y_{2}) on the two dimensional coordinate or xy plane. It's an online Geometry tool requires 2 endpoints on the XY plane. It's an alternate method to finding the center point of a line without compass.
Midpoint Formula
It is a center point between two end points on a XY coordinates {(x1, y1) & (x2, y2)} mathematically represented by the below formula
Midpoint between 2 Points
Two Points (x1, y1) & (x2, y2)
Midpoint
(2, 4) and (4, 4)
(3, 4)
(0, 2) and (2, 8)
(1, 5)
(-4, 5) and (-6, 7)
(-5, 6)
(3, -5) and (7, 9)
(5, 2)
(1, 0) and (5, 4)
(3, 2)
(-7, 5) and (7, 3)
(0, 4)
(4, 7) and (2, 9)
(3, 8)
(1, 0) and (5, 4)
(3, 2)
(2, 0) and (8, 8)
(5, 4)
(3, 12) and (9, 15)
(6, 13.5)
(6, 5) and (9, 2)
(7.5, 3.5)
(1, 7) and (1, 23)
(1, 15)
(2, 7) and (6, 3)
(4, 5)
(6, 7) and (4, 3)
(5, 5)
(1, 7) and (3, 3)
(2, 5)
(1, 7) and (3, 2)
(2, 4.5)
(8, 5) and (3, 7)
(5.5, 6)
(9, 8) and (3, 5)
(6, 6.5)
(-1, -6) and (4, 5)
(1.5, -0.5)
(-3, -1) and (4, -5)
(0.5, -3)
(-4, 4) and (-2, 2)
(-3, 3)
(-4, 5) and (-6, 7)
(-5, 6)
(-4, 9) and (1, -6)
(-1.5, 1.5)
(-5, -7) and (2, -4)
(-1.5, -5.5)
(-7, 1) and (3, -5)
(-2, -2)
Solved Example
This below solved example let users to understand how the example values are being used in this calculation to find the middle point between two endpoints of a line.
Problem:
Find the midpoint for a line having 2 endpoints (x_{1}, y_{1}) = (6, 7) & (x_{2}, y_{2}) = (9, 5).
Solution:
Let (x_{1}, y_{1})) be (6, 7) & (x_{2}, y_{2}) be (9, 5)
Apply the values in the equation
= ((x_{1} + x_{2})/2 , (y_{1} + y_{2})/2)
= ((6 + 9)/2 , (7 + 5)/2)
= (15/2, 12/2)
= (7.5, 6)
The above midpoint calculator, formula & solved example may useful for users to understand, practice and verify such calculations online. Unlike most of the other calculators, it provides complete step by step calculation for each calculation users do by using this Geometry tool.