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(Day 3) 3.4 Parallel & Perpendicular Lines (and Finding k). Don’t need graph paper. 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 ?.
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(Day 3)3.4 Parallel & Perpendicular Lines (and Finding k) Don’t need graph paper
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 ?
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 = 1 B = –3 a) Parallel line same slope Use slope formula with (–1, 2) & m = :
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
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 check it out: (–4, 6) (–4, 0) (–4, –5)
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
Find the value of k so that the line has slope m Ex 6x + ky = 10, m = –2 A = 6 B = k (k) (k)( )
Find the value of k so that the line has slope m Ex ) (k, k + 1), (3, 2) , m = 3 don’t forget ( )
HW # 4 Pg. 121 #31 – 45 odd and 46 • And Pg. 116 #39-45 odd