Calculadora de Punto Medio y Distancia en 2D

Encuentra el punto medio y la distancia entre dos puntos en el plano cartesiano. Ingresa las coordenadas (x, y) y obtén resultados inmediatos.

Mid X

5.0000

Distancia7.2111
Pendiente0.6667

Fórmula

Midpoint Formula

Formula

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

The midpoint is the point exactly halfway between two given points.

Distance Formula

d = sqrt((x₂ - x₁)² + (y₂ - y₁)²)

Slope

m = (y₂ - y₁) / (x₂ - x₁)

Ejemplo Resuelto

Find the midpoint between (2, 3) and (8, 7).

  1. 01Midpoint x = (2+8)/2 = 5
  2. 02Midpoint y = (3+7)/2 = 5
  3. 03Midpoint = (5, 5)
  4. 04Distance = √(36+16) = √52 ≈ 7.2111
  5. 05Slope = 4/6 ≈ 0.6667

Preguntas Frecuentes

What is the midpoint?

The midpoint is the point exactly halfway between two given points. It is found by averaging the x-coordinates and averaging the y-coordinates.

How is the distance formula related to Pythagorean theorem?

The distance formula is a direct application of the Pythagorean theorem, treating the horizontal and vertical differences as legs of a right triangle.

What if the line is vertical?

For a vertical line (x₁ = x₂), the slope is undefined. The midpoint formula still works normally.

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