Write an Equation for Pairs of Parallel Lines Calculator
Understanding how to write an equation for pairs of parallel lines is crucial in geometry and trigonometry. Our calculator simplifies this process, making it accessible to everyone.
- Enter the angles of the parallel lines in degrees.
- Enter the distance between the lines.
- Click ‘Calculate’.
The formula for the equation of a line given an angle and distance is:
y = mx + b, where m = tan(θ) and b = -mx₀ + y₀
For parallel lines, the angles are equal, and the distances are the same. The equations differ only in the y-intercept.
| Angle 1 | Angle 2 | Distance |
|---|---|---|
| 30 | 30 | 5 |
| 45 | 45 | 10 |
| 60 | 60 | 15 |
| Angle | Distance | Equation 1 | Equation 2 |
|---|---|---|---|
| 30 | 5 | y = 0.577x + 3.536 | y = 0.577x – 1.464 |
| 45 | 10 | y = x + 7.071 | y = x – 7.071 |
| 60 | 15 | y = 1.732x + 10.392 | y = 1.732x – 5.196 |
- Always ensure your angles are in degrees.
- For perpendicular lines, use the calculator with angles of 90° and 90°.
What if my angles are in radians?
Convert your angles to degrees before using the calculator.
Can I find the equation of intersecting lines?
No, this calculator is for parallel lines only.
For more information, see Maths is Fun and Khan Academy.