Geometry
Point to Line Distance
Distance from a point to line ax+by+c=0.
Formula
Formula
d = a x0 + b y0 + c√a2+b2
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a,b,c | line coefficients | real number (ℝ) | — | input |
| x₀,y₀ | point | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givena = 3, b = 4, c = -5, x₀ = 0, y₀ = 0
Result1
Example 2
Givena = 1, b = -1, c = 0, x₀ = 2, y₀ = 0
Result1.414213562