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Intersection Of Two Lines

Result

Calculated result 14 Based on the values entered.
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Intersection Of Two Lines — free online calculator.

Formula

Given y=m₁x+b₁ and y=m₂x+b₂: x = (b₂-b₁)/(m₁-m₂); y = m₁x+b₁
  • Intersection Of Two Lines calculates its result from B1, M1, X, B2, M2. It uses the formula Given y=m₁x+b₁ and y=m₂x+b₂: x = (b₂-b₁)/(m₁-m₂); y = m₁x+b₁. Change any input to recalculate the result instantly.
  • The main inputs are B1, M1, X, B2, M2. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Intersection Of Two Lines

Inputs
  • B1: 2
  • M1: 3
  • X: 4
  • B2: 5
  • M2: 6

Using B1 = 2, M1 = 3, X = 4, B2 = 5, M2 = 6, the calculated result is 14.

Sample result: Calculating…

Frequently asked questions

What does the Intersection Of Two Lines calculate?

Intersection Of Two Lines — free online calculator.

Which values should I enter?

Enter B1, M1, X, B2, M2 using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Given y=m₁x+b₁ and y=m₂x+b₂: x = (b₂-b₁)/(m₁-m₂); y = m₁x+b₁.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026