📏 Parallel Line Calculator
Calculate equation of a parallel line
Point on parallel line (x, y)
How to Use This Calculator
Enter Original Line Slope
Input the slope m of the original line.
Enter Point on Parallel Line
Input coordinates (x, y) of a point that the parallel line passes through.
Calculate
Press "Calculate Parallel Line" to find the equation of the parallel line.
Formula
Parallel lines have the same slope
m₁ = m₂
y - y₁ = m(x - x₁) where m is the original slope
Key Point: Parallel lines have identical slopes. Given a point (x₁, y₁) and slope m, the equation is y - y₁ = m(x - x₁), which simplifies to y = mx + b where b = y₁ - mx₁.
About Parallel Line Calculator
The Parallel Line Calculator finds the equation of a line parallel to a given line passing through a specified point. Parallel lines have the same slope.
When to Use This Calculator
- Geometry: Find parallel line equations
- Mathematics: Solve problems involving parallel lines
- Engineering: Design parallel structures
Frequently Asked Questions
What makes two lines parallel?
Two lines are parallel if they have the same slope (m₁ = m₂). They never intersect.
How do I find a parallel line?
Use the same slope as the original line and a point on the new line. Equation: y - y₁ = m(x - x₁), where m is the original slope and (x₁, y₁) is the point.