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**Lesson 6.5 Parallel and Perpendicular Lines**

Objective: To determine whether lines are parallel or perpendicular.

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**Check Skills You’ll Need**

What is the reciprocal of each fraction? 4/3 -2/5 -7/5 1 2/3

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**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

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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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Page 314 #1- 12

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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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Page 314 #13-18

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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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Page 314 #43 – 48 #49 – 51 #

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