Midpoint Calculator

Calculate the midpoint between two coordinates, find the distance between points, and determine the slope of the connecting line.

Calculator

Calculator Details

Enter your information to calculate results

Point 1 Coordinates

Point 2 Coordinates

Results
(5.00, 7.00)
Midpoint Coordinates
Distance Between Points
8.4853 units
Slope of Line
1.0000

Calculation Details

Point 1:(2, 4)
Point 2:(8, 10)
Midpoint Formula:((x₁+x₂)/2, (y₁+y₂)/2)
Distance Formula:√[(x₂-x₁)² + (y₂-y₁)²]

How It Works

The midpoint calculator finds the exact center point between two coordinates using the midpoint formula:

Midpoint Formula

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Where M is the midpoint, and (x₁,y₁) and (x₂,y₂) are the two points

Additional Calculations

  • Distance: Uses the distance formula to find the length between points
  • Slope: Calculates the slope of the line connecting the two points
  • Coordinates: Provides precise decimal coordinates for the midpoint

Examples

Example 1: Simple Points

Point 1: (0, 0)

Point 2: (6, 8)

Midpoint: (3, 4)

Distance: 10 units

Slope: 4/3 ≈ 1.33

Example 2: Negative Coordinates

Point 1: (-2, -4)

Point 2: (4, 2)

Midpoint: (1, -1)

Distance: √72 ≈ 8.49 units

Slope: 1

Real-World Applications

  • Finding the center point between two cities for meeting locations
  • Calculating the center of geometric shapes in design
  • Determining optimal placement in engineering projects
  • GPS navigation and mapping applications

Compare

Related Geometric Calculations:

Distance Formula

Calculate the distance between two points

d = √[(x₂-x₁)² + (y₂-y₁)²]

Slope Formula

Find the slope of a line through two points

m = (y₂-y₁)/(x₂-x₁)

Coordinate System Tips:

  • Positive x-values move right, negative move left
  • Positive y-values move up, negative move down
  • The origin (0,0) is the center of the coordinate plane
  • Quadrants are numbered I-IV starting from upper right, going counterclockwise