Metric Unit Calculator
Math calculator

Point to Line Distance

Calculate perpendicular distance using the point to line distance formula.

Perpendicular distance: -
Visual representation

Point to Line Distance diagram

The diagram updates with your entries and is illustrative, not necessarily drawn to scale.

Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

Reference: Formulae and Tables, State Examinations Commission (2014), page 20.
Recommended resources

Products that may help

Recommended

Udemy Education

Udemy is an AI-powered skills acceleration platform transforming how companies and individuals across the world build the capabilities needed to thrive in a rapidly evolving workplace.

View offerAffiliate link — we may earn a commission at no extra cost to you.

How the Point to Line Distance works

This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 20. Enter values in consistent units.

Formula and inputs

Math.abs(a × x+b × y+c) ÷ Math.sqrt(a × a+b × b)

Inputs: Line coefficient a, Line coefficient b, Line coefficient c, Point x, Point y.

Using the result

The result is rounded to 4 decimal places. Check units, assumptions and significant figures before using the answer.

Keep exploring
2D Coordinate DistanceCalculate distance using the 2d coordinate distance formula.2D Distance CalculatorFind the straight-line distance between two points in a Cartesian plane.3D Coordinate DistanceCalculate distance using the 3d coordinate distance formula.3D Distance CalculatorFind the straight-line distance between two points in three-dimensional Cartesian space.AAA Triangle Theorem CalculatorFind a triangle’s third angle from two known angles in an AAA configuration.AAS Triangle Theorem CalculatorFind a target side using two angles and one non-included side (AAS).