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MATH / ANALYTIC GEOMETRY

Line Intersection Calculator

Find the intersection of two nonparallel lines in slope-intercept form. Review the equation, substituted values, result, assumptions, and interpretation in one focused workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Find the intersection of two nonparallel lines in slope-intercept form. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

x=(b2-b1)/(m1-m2)

What you provide

What you provide

  • First line slope, using the same scenario as the other inputs
  • First line intercept, using the same scenario as the other inputs
  • Second line slope, using the same scenario as the other inputs
  • Second line intercept, using the same scenario as the other inputs

What you receive

What you receive

  • Intersection x-coordinate from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Both lines use the same Cartesian coordinate system and have different slopes.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors