Line Equation Finder

Find the equation of a line through two points in both slope intercept and standard form.

Line equation finder

Slope intercept: —
Standard form: —
Slope: — · y intercept: —
The slope is found first, then one point is substituted to get the intercept and both equation forms.

How to use the Line Equation Finder

  1. Enter the x and y of the first point on the line.
  2. Enter the x and y of the second point on the line.
  3. Read the slope intercept form, the standard form, the slope and the intercept.

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Frequently Asked Questions

Common questions about the free online line equation finder.

Enter both points and the tool finds the slope, then substitutes one point to get the intercept and writes out the equation.
It is y equals m x plus b, where m is the slope and b is the y intercept, and it is the first form the tool shows.
Standard form writes the equation as A x plus B y equals C with whole number coefficients, which the tool shows alongside.
When both x values are the same the line is vertical, so the equation is simply x equals that value.
When both y values are the same the slope is zero and the equation is y equals that constant value.
Yes. Negative and decimal coordinates are supported, and the equation is simplified wherever possible.
No. All of the algebra runs locally in your browser and nothing is ever sent to a server.
Yes. The line equation finder is completely free, with no account required and no limits on use.

Last updated: October 10, 2026