How is the slope calculated?

Slope m = (y₂ − y₁) / (x₂ − x₁), the change in y divided by the change in x. For example, from (1, 2) to (4, 8) the slope is (8 − 2) / (4 − 1) = 2.

What happens with a vertical line?

If both points share the same x value, the run is zero and the slope is undefined — a vertical line. The equation is shown as x = that value, and the angle is 90°.

What is the angle of inclination?

It's the angle the line makes with the horizontal x-axis, equal to arctan(slope). A slope of 1 is 45°; a horizontal line is 0°.

How is the distance found?

By the distance formula √((x₂ − x₁)² + (y₂ − y₁)²) — the length of the straight segment between the two points.

Slope & Line Calculator

Enter the coordinates of two points and this tool works out everything about the line through them: the slope (m = Δy/Δx), the equation in slope-intercept form (y = mx + b), the angle of inclination in degrees, the straight-line distance between the points, their midpoint, and the rise and run. Vertical lines (where the run is zero) are handled too — the slope is reported as undefined and the equation as x = constant. Great for coordinate-geometry homework, graphing, surveying and any place you need the line between two points. Everything is computed locally in your browser.

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Point 1

Point 2

Line equation

y = 2x + 0

Slope (m)

Angle

63.43°

Distance

6.7082

Midpoint

(2.5, 5)

Rise (Δy)

Run (Δx)

How to use

Enter the x and y coordinates of the first point.
Enter the x and y coordinates of the second point.
Read the slope, equation, distance, midpoint, angle and rise/run; copy the equation if you need it.

Frequently asked questions

How is the slope calculated?: Slope m = (y₂ − y₁) / (x₂ − x₁), the change in y divided by the change in x. For example, from (1, 2) to (4, 8) the slope is (8 − 2) / (4 − 1) = 2.
What happens with a vertical line?: If both points share the same x value, the run is zero and the slope is undefined — a vertical line. The equation is shown as x = that value, and the angle is 90°.
What is the angle of inclination?: It's the angle the line makes with the horizontal x-axis, equal to arctan(slope). A slope of 1 is 45°; a horizontal line is 0°.
How is the distance found?: By the distance formula √((x₂ − x₁)² + (y₂ − y₁)²) — the length of the straight segment between the two points.

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