What the Rise Over Run Calculator Does
This calculator finds the slope of a straight line from two points on a coordinate plane. You provide the coordinates of two points — the first point (X1, Y1) and the second point (X2, Y2) — and the tool computes four things at once: the rise (vertical change), the run (horizontal change), the slope (m), and the angle the line makes with the horizontal, expressed in degrees.
It is a quick aid for algebra, geometry, trigonometry, and physics problems where you need to describe how steeply a line climbs or falls.
The Inputs
- X1, Y1 – the coordinates of your first point.
- X2, Y2 – the coordinates of your second point.
All four values can be positive, negative, or zero. Order does not affect the slope, as long as you keep each point's X and Y together.
The Formula
The calculator uses the standard slope definition:
It first computes the rise as y_2 - y_1 and the run as x_2 - x_1. The slope is rise divided by run. If the run is zero (a perfectly vertical line), the slope is undefined — the tool returns infinity, because you cannot divide by zero. The angle is then found with angle = \arctan(slope), converted from radians to degrees.
Worked Example
Suppose your points are (1, 2) and (4, 8):
- Rise = y_2 - y_1 = 8 - 2 = 6
- Run = x_2 - x_1 = 4 - 1 = 3
- Slope = ((6) ÷ (3)) = 2
- Angle = \arctan(2) ≈ 63.43°
So the line rises 2 units for every 1 unit it moves right, and it climbs at about 63.4 degrees from horizontal.
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