 Lesson 6.5 Parallel and Perpendicular Lines

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Lesson 6.5 Parallel and Perpendicular Lines
Objective: To determine whether lines are parallel or perpendicular.

Check Skills You’ll Need
What is the reciprocal of each fraction? 4/3 -2/5 -7/5 1 2/3

Check Skills You’ll Need (continue)
What are the slope and y-intercepts of each equation? y = 5/3x + 4 y = 5/3 x – 8 y = 6x y = 6x + 2 y = -1/4x -1 y = 4x + 2

Vocabulary Parallel lines are lines in the same plane that never intersect. Nonvertical lines are parallel if they have the same slope and different y-intercepts. Any two vertical lines are parallel. Perpendicular lines are lines that intersect to form right angles. Two lines are perpendicular if the product of their slopes is -1. A vertical and a horizontal line are also perpendicular. The product of two numbers is -1 if one number is the negative reciprocal of the other.

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Writing Equations of Parallel Lines
Write an equation for the line that contains (2, -6) and is parallel to y = 3x + 9.

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Write an Equation for Perpendicular Lines
Find an equation of the line that contains (6,2) and is perpendicular to y = -2x + 7.

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