COORDINATE GEOMETRY / RISE OVER RUN
Calculate line slope, rise, run, and direction from two ordered Cartesian points with vertical-line validation.
Use boundary
The y-coordinate change is divided by the x-coordinate change between the two entered points.
Slope = (y2 - y1) / (x2 - x1).
What you provide
What you receive
Use boundary
When both x coordinates match, the line is vertical and slope is undefined rather than infinite.
Results are educational math aids. Check notation, units, rounding, assumptions, and required precision before using an answer in graded, engineering, financial, or safety-critical work.