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Don’t need graph paper. Parallel & Perpendicular Lines Two lines are Parallel  slopes are = Two lines are Perpendicular  negative reciprocal slopes.

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Presentation on theme: "Don’t need graph paper. Parallel & Perpendicular Lines Two lines are Parallel  slopes are = Two lines are Perpendicular  negative reciprocal slopes."— Presentation transcript:

1 Don’t need graph paper

2 Parallel & Perpendicular Lines Two lines are Parallel  slopes are = Two lines are Perpendicular  negative reciprocal slopes What is neg. recip of 3? What is neg. recip of ?

3 Ex 1) Find an eqtn in SF for line through point (–1, 2) that is a) parallel to and b) perpendicular to the line: x – 3y = –2 Find the slope of the line: a) Parallel line  same slope A = 1 B = –3 Use slope formula with (–1, 2) & m = :

4 Ex 1) Find an eqtn in SF for line through point (–1, 2) that is b) perpendicular to the line  neg. recip. slope Neg. recip. slope? Use slope formula with (–1, 2) & m = –3 –3

5 Ex 2) Find an eqtn in SF for the line having x-int – 4 and parallel to y-axis Make a sketch: x-int  crosses x-axis at –4 Parallel to y-axis All of the x-coord = –4 Eqtn: x = –4 (–4, 0) (–4, 6) (–4, –5) check it out:

6 TWAP!!! Find an equation in Standard Form of y = 3x + 4 and goes through (0, 1) that is: A) Parallel and B)Perpendicular to the line

7 Find the value of k so that the line has slope m Ex 6x + ky = 10, m = –2 A = 6 B = k (k) (k)( )

8 Find the value of k so that the line has slope m Ex ) (k, k + 1), (3, 2), m = 3 don’t forget ( )

9 HW # 4 Pg. 121 #31 – 45 odd and 46 And Pg. 116 #39-45 odd


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