Distance Formula
Calculate the straight-line distance between any two points in 2D space.
Distance Formula: d = √[(x₂-x₁)² + (y₂-y₁)²]
Calculate distance between two points
Distance Result
About Distance Formula Calculator
Calculate the straight-line distance between any two points in 2D space. Also find midpoint, slope, and change in x and y coordinates. Perfect for geometry and coordinate math.
Distance Formula
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Also finds: Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)
Slope = (y₂ - y₁) / (x₂ - x₁)
Step-by-Step Example
Find distance between (1,2) and (4,6):
1. Δx = 4 - 1 = 3
2. Δy = 6 - 2 = 4
3. Δx² = 9, Δy² = 16
4. Sum = 9 + 16 = 25
5. d = √25 = 5 units
Quick Examples
Frequently Asked Questions
The distance formula calculates the straight-line distance between two points: d = √[(x₂ - x₁)² + (y₂ - y₁)²]. Derived from the Pythagorean theorem.
Subtract x coordinates (Δx), subtract y coordinates (Δy), square both, add them, then take square root. Example: (1,2) and (4,6) → Δx=3, Δy=4 → d = √(9+16) = √25 = 5.
Distance is the total path length (scalar). Displacement is straight-line distance from start to end (vector). The distance formula gives displacement, not total path length.
No, distance is always positive because we square the differences before adding them. The formula uses absolute differences.
About the Distance Formula
Calculate the straight-line distance between any two points in 2D space.
Formula
Reference Table
| Category | Value |
|---|---|
| (0,0) and (3,4) | 5 |
| (1,1) and (4,5) | 5 |
| (0,0) and (0,5) | 5 |