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Math & Statistics

Point-to-Line Distance Calculator

Find the shortest distance from a point to a line Ax + By + C = 0.

Your inputs

Change any value to update the result instantly.

Math & Statistics

Distance

0.2

Numerator |Ax₀+By₀+C|

1

√(A²+B²)

5

Formula and working

d = |Ax₀ + By₀ + C| ÷ √(A² + B²)

  1. 1

    Collect the inputs

    Line coefficient A = 3; Line coefficient B = -4; Line coefficient C = 5; Point x₀ = 2; Point y₀ = 3

  2. 2

    Apply the formula

    d = |Ax₀ + By₀ + C| ÷ √(A² + B²)

  3. 3

    Result

    Distance = 0.2

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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