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Straight lines formulas
14 formulas for Straight lines, from the Coordinate Geometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Slope | m = tan θ = (y₂ − y₁)/(x₂ − x₁) 🧮 Solve step by step | |
| Slope from general form | m = −a/b 🧮 Solve step by step | ax + by + c = 0 |
| Slope–intercept form | y = mx + c 🧮 Solve step by step | |
| Point–slope form | y − y₁ = m(x − x₁) 🧮 Solve step by step | |
| Two-point form | (y − y₁)/(y₂ − y₁) = (x − x₁)/(x₂ − x₁) 🧮 Solve step by step | |
| Intercept form | x/a + y/b = 1 🧮 Solve step by step | |
| Normal form | x cos α + y sin α = p 🧮 Solve step by step | |
| Parallel lines | m₁ = m₂ 🧮 Solve step by step | |
| Perpendicular lines | m₁ · m₂ = −1 🧮 Solve step by step | |
| Angle between lines | tan θ = |(m₁ − m₂)/(1 + m₁m₂)| | |
| Point to line distance | |ax₁ + by₁ + c| / √(a² + b²) | |
| Distance between parallel lines | |c₁ − c₂| / √(a² + b²) | |
| Foot of perpendicular | (x − x₁)/a = (y − y₁)/b = −(ax₁ + by₁ + c)/(a² + b²) 🧮 Solve step by step | |
| Concurrent lines | |a₁ b₁ c₁; a₂ b₂ c₂; a₃ b₃ c₃| = 0 |
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