midpoint formula
(x1 + x2/2, y1 + y2/2)
The midpoint formula is a formula used to find the midpoint of a line segment using its endpoints. The midpoint is the point that divides a line segment into two equal parts.
The formula to find the midpoint is:
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Where:
– (x₁, y₁) is the first endpoint of the line segment
– (x₂, y₂) is the second endpoint of the line segment
To use the formula, you simply plug in the values of the endpoints and evaluate the expression. The resulting value will be the coordinates of the midpoint of the line segment.
For example, if the endpoints of a line segment are (2, 4) and (6, 8), we can find the midpoint by using the formula:
Midpoint = [(2 + 6)/2, (4 + 8)/2]
Midpoint = [8/2, 12/2]
Midpoint = [4, 6]
So, the midpoint of the line segment with endpoints (2, 4) and (6, 8) is (4, 6).
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