Calculate rise over run (slope) between two points and express it as a fraction, decimal, and percentage.
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Point 1
Point 2
Also in Functions
Algebra
The rise over run calculator finds the slope of a line by dividing the vertical change (rise) by the horizontal change (run) between two points. It reports the slope as a fraction, decimal, and percentage grade.
Rise is the difference in y-coordinates: y2 - y1. Run is the difference in x-coordinates: x2 - x1. The slope m equals rise divided by run. A positive slope means the line goes uphill from left to right; a negative slope means it goes downhill.
If the run is zero the line is vertical and the slope is undefined. If the rise is zero the line is horizontal and the slope is zero.
m = rise / run = (y2 - y1) / (x2 - x1)
Slope as rise over run.
In construction and road design, slope is often expressed as a percentage grade: multiply the decimal slope by 100. A slope of 0.06 is a 6% grade. This representation is intuitive for physical inclines where vertical change per horizontal distance matters.
Frequently asked questions
A slope of zero means the line is perfectly horizontal. There is no rise regardless of the run, so y stays constant.
Slope is a ratio (rise/run). Grade is that ratio expressed as a percentage. A slope of 1/4 equals a 25% grade.
Yes. A slope greater than 1 means the line rises more than one unit vertically for each unit of horizontal distance, resulting in a steep incline greater than 45 degrees.
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