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Midpoint Calculator

Point 1 (x1, y1)

Point 2 (x2, y2)

(2, 7)

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

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Reviewed by Dr. Alex M., Ph.D.

Last updated: November 2025

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💡 Expert Tips

Just Average the Coordinates

Midpoint is simple: just find the average of x's and average of y's. For (2, 4) and (8, 10), midpoint is ((2+8)/2, (4+10)/2) = (5, 7).

Midpoint = Center of Circle

If a line segment is the diameter of a circle, the midpoint is the center! This is how you find circle centers in geometry.

Real World: Meeting Point

If two friends are at different locations on a map, the midpoint gives you the halfway meeting point—equal distance from both!

⚠️ Common Mistakes

Forgetting to Divide by 2

The midpoint of (2, 4) and (8, 10) is NOT (10, 14). You must divide by 2: (5, 7).

Mixing Up Coordinates

Add x to x, and y to y. Don't accidentally add x₁ + y₁!

Sign Errors with Negatives

Be careful: (2 + (-6))/2 = -4/2 = -2, not 2.

❓ Frequently Asked Questions

What is the midpoint formula?+

The midpoint formula is: M = ((x₁ + x₂)/2, (y₁ + y₂)/2). It finds the exact center point between two coordinates by averaging the x and y values.

How do you find the midpoint of a line segment?+

To find the midpoint: 1. Add the x-coordinates and divide by 2. 2. Add the y-coordinates and divide by 2. 3. The result is (mx, my), the center point.

What's the difference between midpoint and distance?+

The midpoint is a point (location) exactly halfway between two points. Distance is a number telling you how far apart the two points are.

Can the midpoint have negative coordinates?+

Yes, if the original points have negative coordinates, the midpoint can also be negative. For example, the midpoint of (-4, -2) and (0, 0) is (-2, -1).

Why is the midpoint formula useful?+

The midpoint formula is used to find center points in geometry, divide line segments equally, find centers of circles, and solve various real-world problems like finding meeting points.