Enter Two Points
Enter coordinates of Point A and Point B
A
Point A
x₁
y₁
B
Point B
x₂
y₂
MIDPOINT
M = (—, —)
Midpoint X
—
Midpoint Y
—
Distance
—
📋 Step-by-Step Solution
📈 Visual Graph
About This Midpoint Calculator
This free Midpoint Calculator finds the exact center point between two coordinates instantly. Enter any two points — with positive, negative, decimal, or large values — and get the midpoint, distance, and full step-by-step solution in seconds.
It also works as an endpoint finder — if you know the midpoint and one endpoint, it calculates the missing endpoint for you.
Midpoint Formula
M = ( (x₁ + x₂) / 2 , (y₁ + y₂) / 2 )
For 3D coordinates, add the z-component:
M = ( (x₁+x₂)/2 , (y₁+y₂)/2 , (z₁+z₂)/2 )
How to Find the Midpoint — Step by Step
- Step 1: Add the x-coordinates of both points: x₁ + x₂
- Step 2: Divide the result by 2: (x₁ + x₂) / 2 → this is your midpoint x
- Step 3: Add the y-coordinates: y₁ + y₂
- Step 4: Divide by 2: (y₁ + y₂) / 2 → this is your midpoint y
- Step 5: Write the midpoint as M = (xM, yM)
Distance Formula
d = √( (x₂−x₁)² + (y₂−y₁)² )
How to Find a Missing Endpoint
If you know midpoint M(mx, my) and one endpoint A(x₁, y₁), the missing endpoint B is:
x₂ = 2·mx − x₁ y₂ = 2·my − y₁
Real-World Applications
- Geometry: Finding center of line segments, triangles, and polygons
- Graphing: Plotting midpoints on coordinate planes
- Physics: Finding center of mass between two equal objects
- Computer Graphics: Collision detection and object placement
- Maps & GPS: Approximate halfway point between two locations
- Engineering & CAD: Center points for design elements
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