# Parallel and perpendicular lines

- Perpendicular
- Example:
- Find an equation parallel to \(y = -\frac{1}{3}x - 2\) that passes through (2,9)
- First, find the negative reciprocal
- This is \(\frac{3}{1}\) (3)

- Then, substitute the coordinates
- This makes the equation become \(9 = 3(2) + c\)
- Simplifying gives \(9 = 6 + c\), and simplifying further gives \(3 = c\)

- Therefore, the equation is \(y = 3x + 3\)

- Example: