Midpoint Formula
(x₁+x₂)/2, (y₁+y₂)/2
The midpoint formula is used to find the midpoint or the center point between two given points on a coordinate plane. The formula involves averaging the x-coordinates and y-coordinates of the two points separately. The midpoint formula can be represented as:
Midpoint = [(x1 + x2)/2, (y1 + y2)/2]
Where:
x1 and y1 are the coordinates of the first point
x2 and y2 are the coordinates of the second point
To apply the midpoint formula, the coordinates of the points must be known. The midpoint is the point that lies exactly in the middle of the line segment joining the two points. It has the same distance from each of the two points. The midpoint formula can be used in various fields, such as geometry, physics, engineering, and computer science.
Example: Find the midpoint of the line segment joining the points (5, 6) and (9, 10)
Solution:
Using the midpoint formula,
Midpoint = [(x1 + x2)/2, (y1 + y2)/2]
Midpoint = [(5 + 9)/2, (6 + 10)/2]
Midpoint = [(14)/2, (16)/2]
Midpoint = [7, 8]
Therefore, the midpoint of the line segment joining the points (5, 6) and (9, 10) is (7, 8).
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