Algebra

Distance Formula - Algebra

Learn the distance formula with examples, step-by-step guide, and calculator tools. Calculate distance between two points in a plane

The distance formula is a fundamental concept in algebra. Calculate distance between two points in a plane. This page provides a comprehensive guide with worked examples and practical applications.

The Formula

\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]

Variables

d
Distance
x₁, y₁
First point coordinates
x₂, y₂
Second point coordinates

Step-by-Step Guide

  1. 1

    Step 1: Gather your data values

  2. 2

    Step 2: Apply the formula

  3. 3

    Step 3: Perform the calculations

  4. 4

    Step 4: Interpret the result

Examples

Example 1

Example 1: [0,0,3,4] → d = √((3-0)² + (4-0)²) = √(9 + 16) = 5

Example 2

Example 2: 5

Frequently Asked Questions

What is the distance formula?

Calculate distance between two points in a plane

How do I calculate distance formula?

Use the formula: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}. Follow the steps provided above.

What tools can help with distance formula?

We provide online calculators: calculator

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