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Lesson 6.5 Parallel and Perpendicular Lines

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? ½ 4/3 -2/5 -7/5 1 2/3. Check Skills You’ll Need (continue).

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Lesson 6.5 Parallel and Perpendicular Lines

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

  2. Check Skills You’ll Need • What is the reciprocal of each fraction? • ½ • 4/3 • -2/5 • -7/5 • 1 2/3

  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

  4. 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.

  5. Page 314 • #1- 12

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

  7. Page 314 • #13-18

  8. Page 314 • #19 - 24

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

  10. Page 314 • #25 - 31

  11. Page 314 • # 32 - 42

  12. Page 314 • #43 – 48 • #49 – 51 • #77 - 79

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