Slope to Degrees Calculator

How to Use

1. Enter the slope (m) of the line in the input field.
2. Click the "Calculate" button to convert the slope to degrees.
3. The result in degrees will be displayed in the result field.

Understanding Slope and Degrees

The slope of a line is a measure of its steepness. It is defined as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line (rise over run). The slope can be positive, negative, zero, or undefined.

The relationship between slope and degrees is based on the arctangent function. The angle θ in degrees is equal to the arctangent of the slope m:

θ = arctan(m)

This formula allows you to convert a linear slope to an angular measurement, which is useful in many fields such as construction, engineering, and physics.

Example

If you have a line with a slope of 1, the calculator will show that the angle is 45 degrees. This means the line rises at a 45-degree angle from left to right.