Midpoint Calculator
Coordinates
Enter two endpoints to find the exact middle point.
Understanding Midpoint
The midpoint is the middle point of a line segment. It is equidistant from both endpoints, meaning it divides the segment into two equal halves.
Finding the midpoint is a common task in geometry, computer graphics (for finding centers of objects), and even navigation.
The Midpoint Formula
To find the midpoint between two points (x₁, y₁) and (x₂, y₂), you simply take the average of their coordinates.
Think of it as finding the average x-value and the average y-value.
Calculation Examples
Example 1: Positive Coordinates
Find the midpoint between (2, 4) and (6, 10).
- Average X: (2 + 6) / 2 = 8 / 2 = 4
- Average Y: (4 + 10) / 2 = 14 / 2 = 7
- Midpoint: (4, 7)
Example 2: Negative Coordinates
Find the midpoint between (-3, 5) and (1, -9).
- Average X: (-3 + 1) / 2 = -2 / 2 = -1
- Average Y: (5 + -9) / 2 = -4 / 2 = -2
- Midpoint: (-1, -2)
Frequently Asked Questions
Does order matter?
No. Since addition is commutative (a + b = b + a), it doesn't matter which point you call "Point 1" and which you call "Point 2". The midpoint will be the same.
Can I use decimals?
Absolutely. The formula works for integers, decimals, and fractions alike.
What if I need the Distance?
If you need the length of the line connecting the two points, check out our Slope Calculator or Distance Formula Calculator (coming soon).