Line Equation Calculator
x₁
y₁
x₂
y₂
✓Line Equation
y = 2.0000x + 2.0000
Slope (m)
2.0000
y-intercept
2.0000
The equation of a line in slope-intercept form is y = mx + c, where m is the slope (gradient) and c is the y-intercept. It describes every straight line in 2D space.
- 1Slope m = (y₂−y₁)/(x₂−x₁)
- 2y-intercept c = y − mx
- 3Parallel lines have equal slopes
- 4Perpendicular lines: m₁×m₂ = −1
Points (0,2) and (3,8)=m = (8−2)/(3−0) = 2, c = 2, so y = 2x + 2
m = 3, passes through (1, 5)=y − 5 = 3(x − 1), so y = 3x + 2
| Form | Equation | Best used when |
|---|---|---|
| Slope-intercept | y = mx + c | Slope and y-intercept known |
| Point-slope | y−y₁=m(x−x₁) | Point and slope known |
| Standard | ax + by = c | Integer coefficients needed |
| Two-point | (y−y₁)/(y₂−y₁)=(x−x₁)/(x₂−x₁) | Two points known |
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