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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.

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Presentation on theme: "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."— Presentation transcript:

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 (3.7) Parallel and Perpendicular Lines

2 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 paralle l.

3 Slope and Parallel Lines Are lines l and m parallel? (-2,-4) (1,-4) (1,5) (3,3) lm

4 Slope and Parallel Lines Which of the following lines are parallel?

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

6 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.

7 Slope and Perpendicular Lines Are lines l and m perpendicular? (-3,-2) (-2,3) (0,2) (6,-3) l m

8 Slope and Perpendicular Lines Which of the following lines are perpendicular?

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

10 (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, 32 TERMS: Parallel Lines, Perpendicular Lines


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