Distance Between Two Points Calculator

The distance calculator computes the straight-line distance between two points on a coordinate plane. Using the distance formula derived from the Pythagorean theorem, it provides both the exact form and decimal approximation.

1. Enter the x-coordinate (x₁) and y-coordinate (y₁) for the first point
2. Enter the x-coordinate (x₂) and y-coordinate (y₂) for the second point
3. The distance will be calculated automatically
4. View the step-by-step solution showing all calculations

• Instant distance calculation using the distance formula
• Shows exact form (√) when applicable
• Detailed step-by-step solution breakdown
• Visual graph showing the two points and connecting line
• Displays horizontal (Δx) and vertical (Δy) components

What is the distance formula?

The distance formula is d = √[(x₂ - x₁)² + (y₂ - y₁)²], derived from the Pythagorean theorem.

What does the exact form mean?

The exact form shows the distance as a simplified square root (like √2 or 3√5) when the result is not a perfect square.

Can I use this for 3D coordinates?

This calculator is for 2D coordinates. For 3D, you would need to add the z-component: d = √[(x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²].