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Parallel and Perpendicular Conditions Calculator

Online parallel/perpendicular checker: parallel k₁=k₂, perpendicular k₁k₂=−1.

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Parallel k₁=k₂; perpendicular k₁k₂=−1
Slope
Slope

📖 Tutorial | Parallel/Perp

1. Definition
Two lines are parallel iff k₁=k₂ and perpendicular iff k₁k₂=−1; otherwise neither.
2. Formula & Notation
k₁,k₂Slopes
3. Properties & Laws
  • Parallel: equal slopes;
  • Perpendicular: product −1;
  • Vertical/horizontal too;
  • Coincident needs same intercept.
4. Steps
  1. Enter two slopes;
  2. Click "Decide";
  3. Or click "Load Example".
5. Worked Examples
Example: 2, −0.5 multiply to −1, perpendicular.
6. Common Pitfalls
Perpendicular is −1, not equality;
Same intercept for coincidence;
Treat vertical separately.

❓ FAQ | Parallel/Perp

Parallel?
Equal.
Perpendicular?
Product −1.
Vertical/horizontal?
Perpendicular.
Coincident?
Same intercept.
Example?
Perpendicular.
Neither?
Both fail.