The Midpoint Formula: How to Find the Exact Middle Point Between Two Coordinates

Midpoint

In mathematics, the midpoint is a point that is exactly halfway between two other points

In mathematics, the midpoint is a point that is exactly halfway between two other points. It is commonly used in geometry and coordinate geometry to find the midpoint of a line segment or the center of a circle.

To find the midpoint of a line segment, you can follow these steps:

1. Identify the coordinates of the two endpoints of the line segment. Let’s say the coordinates of the first endpoint are (x1, y1) and the second endpoint are (x2, y2).

2. Apply the midpoint formula, which states that the midpoint (M) can be found by taking the average of the x-coordinates and the average of the y-coordinates.

M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

3. Substitute the values of x1, x2, y1, and y2 into the midpoint formula to find the coordinates of the midpoint.

For example, let’s find the midpoint of the line segment with endpoints (2, 4) and (6, 8):

x1 = 2, y1 = 4
x2 = 6, y2 = 8

Using the midpoint formula:

M = ( (2 + 6) / 2 , (4 + 8) / 2 )
= ( 8 / 2 , 12 / 2 )
= ( 4 , 6 )

Therefore, the midpoint of the line segment with endpoints (2, 4) and (6, 8) is (4, 6).

It is important to note that the midpoint divides the line segment into two equal halves in terms of length. The distance from one endpoint to the midpoint is the same as the distance from the midpoint to the other endpoint.

More Answers: