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 $$y = 3x + 3$$

Created: 2021-11-13 Sat 19:39

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