Slope Between Two Points Calculator

Calculate the slope of a line segment using two Cartesian points (rise over run).

Enter the first point's x-coordinate using the same units as x₂.
Enter the first point's y-coordinate.
Enter the second point's x-coordinate; it must differ from x₁ to avoid an undefined slope.
Enter the second point's y-coordinate using the same scale as y₁.

Mathematical tool for educational use.

Examples

  • (1,2) to (4,6) ⇒ 4/3
  • (0,0) to (5,5) ⇒ 1
  • (2,5) to (-1,2) ⇒ 1
  • (−3.5, 1.25) to (4.75, 9.8) ⇒ 1.125

FAQ

What if x₂ equals x₁?

The slope is undefined because division by zero occurs.

Are negative slopes allowed?

Yes, negative results indicate a downward slope.

Do inputs need to be integers?

No, decimals are accepted.

Is this for 2D only?

Yes, it handles two-dimensional coordinates.

What does a slope of zero mean?

A zero slope represents a perfectly horizontal line.

How do I convert slope to a percentage grade?

Multiply the slope by 100 to express rise over run as a percent grade, common in road design and accessibility studies.

Can I calculate distance between the points too?

This calculator focuses on slope. Use our distance-between-two-points tool to find the segment length.

Additional Information

  • Slope describes how steep a line is between two points.
  • A positive slope rises from left to right; a negative slope falls.
  • Results are unitless and depend on consistent coordinate units.
  • Slope equals the tangent of the line's inclination angle—use arctangent to convert slope to degrees.

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