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Forms of Line Equation Calculator

Online line equation generator: enter the slope and one point to get point-slope, slope-intercept and general forms.

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y−y₀=k(x−x₀); y=kx+b
Slope
A point on the line
x
y

📖 Tutorial | Line Equations

1. Definition
Point-slope y−y₀=k(x−x₀); slope-intercept y=kx+b (b=y₀−kx₀); general Ax+By+C=0.
2. Formula & Notation
kSlope
(x₀,y₀)A point
3. Properties & Laws
  • Point-slope;
  • b=y₀−kx₀;
  • General form;
  • Vertical line is x=x₀.
4. Steps
  1. Enter k and a point;
  2. Click "Equation";
  3. Or click "Load Example".
5. Worked Examples
Example: slope 2 through (1,3): y=2x+1.
6. Common Pitfalls
b=y₀−kx₀, not y₀;
Mind a negative b;
Vertical has no point-slope.

❓ FAQ | Line Equations

Point-slope?
y−y₀=k(x−x₀).
Slope-intercept?
y=kx+b.
b?
y₀−kx₀.
General?
Ax+By+C=0.
Vertical?
x=x₀.
Example?
y=2x+1.