Incline Rate Calculator

How to Use the Calculator

1. Enter the X and Y coordinates for Point 1 (x1, y1).
2. Enter the X and Y coordinates for Point 2 (x2, y2).
3. Click the "Calculate" button to compute the incline rate (slope).
4. The result will be displayed as the slope value. A positive value indicates an upward slope from left to right, while a negative value indicates a downward slope.
5. If the line is vertical (x2 = x1), the calculator will display "undefined (vertical line)" as the slope is infinite.

Understanding the Incline Rate (Slope)

The incline rate, also known as the slope, measures how steep a line is. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line.

The formula for calculating the slope (m) between two points (x1, y1) and (x2, y2) is:

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

Where:
- y2 - y1 is the change in the Y coordinates (vertical change)
- x2 - x1 is the change in the X coordinates (horizontal change)

Examples

Example 1: Calculate the slope between points (1, 2) and (3, 6)

m = (6 - 2) / (3 - 1) = 4 / 2 = 2

Example 2: Calculate the slope between points (4, 5) and (4, 10)

m = (10 - 5) / (4 - 4) = 5 / 0 = undefined (vertical line)