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Math — Geometry

Slope Calculator

Enter two points to get the slope, y-intercept, line equation, distance and angle.

Filed by The Statistics Desk  |  Method: m = Δy ÷ Δx
Slope (m)
—
Rise over run between the points.
Readout
y-intercept (b)—
Equation—
Distance—
Angle—
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Enter your figures above to see the step-by-step working.
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How the Slope Calculator Works

The slope of a line measures how steep it is — the change in y divided by the change in x, often called “rise over run.” Give the calculator two points and it finds the slope, then works out the y-intercept, the full equation of the line, the straight-line distance between the points and the angle the line makes with the horizontal.

Once you have the slope, the y-intercept comes from rearranging y = mx + b, and the distance uses the Pythagorean theorem on the horizontal and vertical gaps. A vertical line (no change in x) has an undefined slope, which the calculator reports rather than dividing by zero.

m = (y2 − y1) ÷ (x2 − x1)

Frequently Asked Questions

What does a negative slope mean?

A negative slope means the line goes down from left to right — as x increases, y decreases. A positive slope rises, a zero slope is flat, and a vertical line has an undefined slope.

How do I find the y-intercept from two points?

First find the slope, then substitute one point into y = mx + b and solve for b. The y-intercept is where the line crosses the y-axis, at x = 0.

What is the distance between the two points?

It is the straight-line distance, found with the Pythagorean theorem: the square root of the horizontal gap squared plus the vertical gap squared.

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