Finding the Midpoint of a Line Segment: Formula and Example

Midpoint

The midpoint is a point that is exactly halfway between two given points on a line segment

The midpoint is a point that is exactly halfway between two given points on a line segment. It can be thought of as the “middle” or “average” point between the two endpoints.

To find the midpoint of a line segment with given coordinates, you can use the midpoint formula. The formula is:

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

Here, (x1, y1) and (x2, y2) represent the coordinates of the two endpoints of the line segment.

Let’s consider an example. Suppose we have a line segment with endpoints A(2,3) and B(6,8), and we want to find the midpoint.

Using the midpoint formula, we can calculate the midpoint as follows:

Midpoint = ((2 + 6) / 2, (3 + 8) / 2)
= (8 / 2, 11 / 2)
= (4, 5.5)

So, the midpoint of the line segment with endpoints A(2,3) and B(6,8) is (4, 5.5).

Please note that when performing calculations, it is essential to maintain the precision of the original coordinates. In this case, the midpoint is expressed as (4, 5.5) since one of the coordinates contains a decimal value.

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