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Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous (3.7) Parallel and Perpendicular Lines
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Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Dec 18, 2015

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Abner Cummings
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Page 1: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Obj:To relate slope and parallel lines.To relate slope and perpendicular lines.

Obstacles are what you see if you take your eyes off the goal!~ Anonymous

(3.7) Parallel and Perpendicular Lines

Page 2: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Slope and Parallel Lines

Slopes of Parallel Lines: 1) If two nonvertical lines are parallel, their slopes are equal.2) If the slopes of two distinct nonvertical lines are equal, the lines are parallel.3) Any two vertical lines are parallel.

Page 3: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Slope and Parallel Lines

Are lines l and m parallel?

(-2,-4) (1,-4)

(1,5)

(3,3)

l m

Page 4: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Slope and Parallel Lines

Which of the following lines are parallel?

A : y 1

3x 1

D : 4y 12x 20

C : y 3x 1

B : 4y 12x 20

Page 5: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Slope and Parallel Lines

Write an equation in point-slope form for the line parallel to 3x + y = 4 containing the point (-1,2).

Page 6: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Slope and Perpendicular Lines

Slopes of Perpendicular Lines: 1) If two nonvertical lines are perpendicular, the product of their slopes is -1.2) If the slopes of two lines have a product of -1, the lines are perpendicular.3) Any horizontal line and vertical line are perpendicular.

Page 7: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Slope and Perpendicular Lines

Are lines l and m perpendicular?

(-3,-2)

(-2,3)

(0,2)

(6,-3)l

m

Page 8: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Slope and Perpendicular Lines

Which of the following lines are perpendicular?

C : y 1

4x 3

D : 3y 12x 21

A : y 3x 1

B : 3y 12x 18

Page 9: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

Slope and Perpendicular Lines

Write an equation in point-slope form for the line perpendicular to y = -3x - 5 containing the point (-3,7).

Page 10: Obj: To relate slope and parallel lines. To relate slope and perpendicular lines. Obstacles are what you see if you take your eyes off the goal! ~ Anonymous.

(3.7) Parallel and Perpendicular Lines

Obstacles are what you see if you take your eyes off the goal!~ Anonymous

HOMEWORK: (3.7) Pg. 177; #2-22 even, 32TERMS: Parallel Lines, Perpendicular Lines