Slope Calculator

This calculator finds the slope, distance, midpoint, and full line equation connecting two coordinate points, working entirely from the rise (the vertical gap Y₂ minus Y₁) and run (the horizontal gap X₂ minus X₁) between them. Slope divides rise by run: raise Y₂ and the numerator, and the slope, climbs, while raising Y₁ pulls the slope down, since rise measures how far you moved up from the first point. The run in the denominator works in reverse — pushing X₂ further right stretches the run and flattens the slope toward zero, while pushing X₁ the other way shrinks the run and steepens the line. The distance between the points and their midpoint come from those same two gaps, independent of which point is labeled first or second.

When the two x-coordinates match exactly, run becomes zero, and rather than letting the division by zero produce a raw Infinity, the page swaps in the text "Undefined (vertical line)" instead of a number, along with a y-intercept of "None (vertical)," since a vertical line never crosses the y-axis at one defined point the way y = mx + b describes — this vertical-line case is handled explicitly. The real gap worth flagging: nothing here checks that the two points you enter are actually distinct. If you enter identical coordinates for both points — a zero-distance pair — run comes out zero, and the calculator reports it the same way it reports a genuine vertical line ("Undefined (vertical line)"), along with a Distance of 0 and an Angle of 0°, even though no line is actually defined by a single repeated point.