Convert between rise/run, slope, grade, and angle.
Last updated: June 2026 | By Patchworkr Team
Rise is required.
Rise over run is the ratio of vertical change to horizontal change. It is the same quantity that slope uses in coordinate geometry.
Grade is slope expressed as a percentage, and angle is the corresponding inclination measured from the horizontal.
If the rise is 4 and the run is 3, then the slope is 4/3.
Can run be zero?
No. That makes the line vertical and the slope undefined.
Can grade be negative?
Yes. A negative rise gives a negative grade and angle.
What does a 100% grade mean?
It means rise equals run, so the slope is 1 and the angle is 45°.
Does blank input count as zero?
No. Blank input is treated as missing, not as zero.
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