Enter two points and the calculator returns the slope, the y-intercept, the equation of the line, and the distance between the points, with each step shown.
Point 1 is (x1, y1); point 2 is (x2, y2).
Slope measures how steep a line is. It is the change in y divided by the change in x between any two points on the line, often called rise over run.
From the slope you can build the full equation of the line in slope-intercept form, y = mx + b, where b is the y-intercept found with b = y₁ - m x₁. The straight-line distance between the two points comes from the distance formula.
For more on slope and linear equations, see Wolfram MathWorld on the line.
Slope m = (y2 - y1) / (x2 - x1). It is the change in y divided by the change in x between two points on the line.
Once you have the slope m, use b = y1 - m times x1. The intercept b is where the line crosses the y-axis.
A slope of zero is a flat, horizontal line. An undefined slope, where x1 equals x2, is a vertical line.
With the distance formula, sqrt((x2 - x1)^2 + (y2 - y1)^2), which comes straight from the Pythagorean theorem.
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