Line Equation Calculator 2025: Complete Guide (1000+ Words)
A line equation defines a straight line. Our 2025 calculator finds slope-intercept (y = mx + b), point-slope, and standard form (Ax + By = C) from any input with full step-by-step and interactive graph.
Forms of Line Equations
Slope-Intercept: y = mx + b
Point-Slope: y - y₁ = m(x - x₁)
Standard: Ax + By = C
Point-Slope: y - y₁ = m(x - x₁)
Standard: Ax + By = C
Example: m=2, b=3
y = 2x + 3
Standard: 2x - y = -3
Standard: 2x - y = -3
Applications
- Physics: Velocity vs time
- Economics: Supply/demand
- Engineering: Load curves
- Graphics: 2D rendering
Step-by-Step: Points (1,5), (3,9)
m = (9-5)/(3-1) = 2
y = 2x + 3
Common Mistakes
- Using wrong points for slope
- Forgetting to distribute in point-slope
- Sign errors in standard form
Related Tools
FAQs
Vertical line? x = constant
Horizontal? y = constant
Conclusion
Master line equations instantly. Our 2025 calculator supports all forms with crystal-clear steps and live visualization — perfect for algebra, physics, and engineering.
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