Rise Over Run Calculator

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Two-points mode takes (x1,y1) and (x2,y2) and finds the slope. Rise-and-run mode takes the vertical and horizontal change directly. Slope-and-point mode takes the slope and one coordinate to solve for the second point.
The x-coordinate of the first point on the line.
The y-coordinate of the first point on the line.
The x-coordinate of the second point on the line.
The y-coordinate of the second point on the line.
SlopePositive slope
1

Rise divided by run (m = Δy / Δx)

Slope (fraction)1
Rise (Δy)4
Run (Δx)4
Percent grade100%
Angle45°
Distance5.6569
y-intercept (b)1
Line equationy = x + 1.0000
Slope typePositive (upward slope)
100 %
Very steep descent<-20Steep descent-20--8Gentle descent-8--2Nearly flat-2-2Gentle ascent2-8Steep ascent8-20Very steep ascent20+

Slope is 1 (1.0000). The line rises from left to right.

  • For every 4.0000 units traveled horizontally, the line moves 4.0000 units up.
  • Expressed as a percent grade, that is 100.00% - the kind of measurement used for road grades and ramps.
  • The line makes an angle of 45.00 degrees with the horizontal.
  • The straight-line distance between the two points is 5.6569 units.

Next stepA grade above 12% is steep for most road and accessibility applications. Check applicable building or ramp codes for your use case.

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