Distance Between Points Calculator

Distance Between Points is evaluated from Point 1 - x₁, Point 1 - y₁ and Point 2 - x₂. The calculation reports Distance, Slope and Midpoint x.

Results

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About the Distance Between Points Calculator

Distance Between Points is treated here as a quantitative relation between Point 1 - x₁, Point 1 - y₁, Point 2 - x₂ and Point 2 - y₂ and Distance, Slope, Midpoint x and Midpoint y.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
d = sqrt((x₂ - x₁)^2 + (y₂ - y₁)^2)
Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)
Slope = (y₂ - y₁) / (x₂ - x₁)

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

d = sqrt((x₂ - x₁)^2 + (y₂ - y₁)^2)
Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)
Slope = (y₂ - y₁) / (x₂ - x₁)

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Room Layout — Diagonal

Inputs

x1: 0 y1: 0 x2: 24 y2: 18
Distance: 30 units. Slope: 0.75. Midpoint x: 12. Midpoint y: 9. Δx: 24. Δy: 18

With Point 1 - x₁ = 0, Point 1 - y₁ = 0, Point 2 - x₂ = 24 and Point 2 - y₂ = 18 as the stated inputs, the result is Distance = 30 units, Slope = 0.75 and Midpoint x = 12. Each value corresponds to the declared output fields.

Example 2: Running Route Distance

Inputs

x1: -87.6298 y1: 41.8781 x2: -87.6177 y2: 41.8827
Distance: 0.012945 units. Slope: 0.380165. Midpoint x: -87.62375. Midpoint y: 41.8804. Δx: 0.0121. Δy: 0.0046

With Point 1 - x₁ = -87.6298, Point 1 - y₁ = 41.8781, Point 2 - x₂ = -87.6177 and Point 2 - y₂ = 41.8827 as the stated inputs, the result is Distance = 0.012945 units, Slope = 0.380165 and Midpoint x = -87.62375. Each value corresponds to the declared output fields.

Example 3: 3D Distance — Warehouse Shelf to Exit

Inputs

x1: 5 y1: 3 x2: 28 y2: 45 z1: 0 z2: 12
Distance: 49.36598 units. Slope: 1.826087. Midpoint x: 16.5. Midpoint y: 24. Δx: 23. Δy: 42

With Point 1 - x₁ = 5, Point 1 - y₁ = 3, Point 2 - x₂ = 28 and Point 2 - y₂ = 45 as the stated inputs, the result is Distance = 49.36598 units, Slope = 1.826087 and Midpoint x = 16.5. Each value corresponds to the declared output fields.

Example 4: Football Field — Play Distance

Inputs

x1: 20 y1: 15 x2: 65 y2: 32
Distance: 48.104054 units. Slope: 0.377778. Midpoint x: 42.5. Midpoint y: 23.5. Δx: 45. Δy: 17

With Point 1 - x₁ = 20, Point 1 - y₁ = 15, Point 2 - x₂ = 65 and Point 2 - y₂ = 32 as the stated inputs, the result is Distance = 48.104054 units, Slope = 0.377778 and Midpoint x = 42.5. Each value corresponds to the declared output fields.

Common Use Cases

  • Find distance between two GPS coordinates
  • Calculate diagonal distance in a room layout
  • Determine distance for a straight-line path
  • Measure hypotenuse in coordinate geometry