Midpoint Examples

The midpoint M of the line segment joining the points (x1, y1) and (x2, y2) is, M = (x1 + x2 / 2),(y1 + y2 / 2). If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values. Here are two simple midpoint examples that helps you in finding the middle point of a line segment given two co-ordinates.

Midpoint Formula Example Problems

Example 1:

Let us consider the problem with a line segment having coordinate points as (5, 4) and (2, 4).

Solution:

We can calculate the midpoint using the given formula,

Mid Point Formula:

Substituting the values in the formula, = (5+2) / 2 , (4+4) / 2 = 7/2 , 8/2 = 7/2, 4

Therefore, midpoint of a line segment with coordinates (5, 4) and (2, 4) is (7/2, 4)

Example 2:

Let us consider the problem with a line segment having coordinate points as (9,3) and (7, 6)

Solution:

We can calculate the midpoint using the above given formula,

Substituting the values in the formula, = (9+7) / 2 , (3+6) / 2 = 16/2 , 9/2 = 8, 9/2

Therefore, midpoint of a line segment with coordinates (9,3) and (7, 6) is (8, 9/2)

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