5.5 Parallel and Perpendicular Lines

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Presentation transcript:

5.5 Parallel and Perpendicular Lines Objective: verbally tell me how the slope of parallel lines and perpendicular lines are related. They can find the equation of a line parallel/perpendicular to a given line that passes through a given point. http://apod.nasa.gov/apod/ The Dark Doodad Nebula

Quick Review 1.Find the reciprocal of each fraction a. b. c. d. 2.Find the slope and y-intercept of each equation

Parallel Lines Parallel Lines - lines that never intersect What is the slope of the red line? 1/2 blue line? Parallel Lines have the slope! same

Parallel Lines Determine if the lines are parallel 1. 2x + 6y = 12 6y = -2x + 12 yes

Parallel Lines Determine if the lines are parallel 2. 6x + 8y = -24 8y = -6x – 24 No

Parallel Lines Determine if the lines are parallel 3. 4x + 6y = -2 6y = -4x – 2 No

Perpendicular Lines Perpendicular Lines – lines that intersect to form right angles What is the slope of the red line? -1/4 blue line? 4/1 Perpendicular Lines have slope! negative reciprocal

Perpendicular Lines What is the slope of the perpendicular line? 7. -5/2 8. 5/1 = 5 9. 1/2

Perpendicular Lines 13. Determine if the lines are perpendicular: and No 14. Determine if the lines are perpendicular: Yes

Challenge What is the slope of the line that is parallel to x = 4? undefined What is the slope of the line that is perpendicular to x = 4? zero

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