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Distance from Point to Line Calculator

Online point-to-line distance: d=|Ax₀+By₀+C|/√(A²+B²).

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d=|Ax₀+By₀+C|/√(A²+B²)
General form
Point
x
y

📖 Tutorial | Point–Line

1. Definition
The distance from P(x₀,y₀) to Ax+By+C=0 is |Ax₀+By₀+C|/√(A²+B²).
2. Formula & Notation
A,B,CCoefficients
3. Properties & Laws
  • Point-line distance;
  • Parallel lines reduce to it;
  • Absolute value keeps it non-negative;
  • On the line gives 0.
4. Steps
  1. Enter coefficients and a point;
  2. Click "Distance";
  3. Or click "Load Example".
5. Worked Examples
Example: 3x+4y+5=0, (1,2): 16/5=3.2.
6. Common Pitfalls
Use general form;
Keep the denominator;
Absolute numerator.

❓ FAQ | Point–Line

Formula?
|...|/√(A²+B²).
Parallel?
Pick a point.
A=B=0?
Not a line.
On line?
0.
Example?
3.2.
Form?
Rearrange first.