Ratios of Directed Line Segments Calculator

This calculator determines the ratio of two directed line segments on a number line, helping you understand the relative positions and distances between points.

Input Parameters

Calculation Results

Ratio Calculation

Ratio (x2 - x1) / (y2 - y1) =

Where:
- (x1, x2) are the endpoints of the first line segment.
- (y1, y2) are the endpoints of the second line segment.
- The ratio is calculated as (x2 - x1) / (y2 - y1).

Calculation Formula

Ratio = (x2 - x1) / (y2 - y1)

This formula calculates the ratio of the lengths of the two directed line segments between the given points.

Ratios of Directed Line Segments Calculator Usage Guide

Learn how to use the Ratios of Directed Line Segments Calculator and its working principles

How to Use the Calculator

  1. Enter the coordinates of the first line segment's endpoints (Point 1 and Point 2). These represent the positions of the two endpoints on the number line.
  2. Enter the coordinates of the second line segment's endpoints (Point 3 and Point 4). These also represent the positions of the two endpoints on the number line.
  3. Click the "Calculate" button to compute the ratio of the lengths of the two directed line segments.
  4. The result will be displayed as the ratio of (x2 - x1) / (y2 - y1).

Understanding the Formula

The ratio of two directed line segments is calculated using the formula:

Ratio = (x2 - x1) / (y2 - y1)

This formula determines how much longer or shorter the first line segment is compared to the second line segment. The result is a numerical value that represents the proportional relationship between the two segments.

Example

Suppose you have two line segments:

  • First line segment endpoints: Point 1 (2) and Point 2 (5)
  • Second line segment endpoints: Point 3 (3) and Point 4 (9)

Using the formula:

Ratio = (5 - 2) / (9 - 3) = 3 / 6 = 0.5

This means the first line segment is half the length of the second line segment.