Parallel and Perpendicular Parallel Perpendicular
100
2 lines that never touch or cross, like railroad tracka
What is a parallel line?
100
Y-5=2/3(x-12)
Y-5=2/3x-8
+5 +5

Y=2/3x-3
Solve for parallel.
(12, 5) y=2/3x -1
100
M= 1/3 = -3

Y-4=-3(x-2)
Y-4=-3x+6
+4 +4

Y=-3x+10
Solve for perpendicular
(2, 4) y=1/3x -1
200
Two lines that cross to make a right angle
What is a perpendicular line?
200
Y+1=2(x+3)
Y+1=2x+6
Y+1=2x+6
-1 -1

Y=2x+5
Solve for parallel.
(-3, -1) y=2x+3
200
M= -1/2

Y-8=-1/2(x-1)
Y-8=-1/2x+1/2
+8 +8

Y=-2x+8 1/2
Solve for perpendicular
(1, 8) y=2x+1
300
Same
Are slopes for parallel opposite or the same?
300
Y-3=3(x-1)
Y-3=3x-3
+3 +3

Y=3x
Solve for parallel.
(1, 3) y=3x+2
300
M=1/3

Y-0=1/3(x-0)
Y-0=1/3x+0
+0 +0

Y=1/3+0
Solve for perpendicular
(0, 0) y=-3x +2
400
Opposite
Are slopes for perpendicular same or opposite?
400
Y=5
Solve for pa pa parallel~
(2, 5) y=2
400
M=-1/2
Y-0=-1/2(x-5)
Y-0=-1/2x+2 1/2
+0 +0
Y=-1/2x+2 1/2
Solve for perpendicular
(5, 0) y+1=2(x-3)
500
Parallel

Y-8
---------- = x*2
2 x 2

Y+8=2x
-8 -8

Y=2x -8
Is the line perpendicular, parallel, same line, or none of that above?
Line A: line B:
Y= 2x +8, y-8
-------- =x
2
500
X=4
Sooooolve for parallel.
(4, 6) x=3
500
Y-10=-1/8(x-4)
Y-10=-1/8x+1/2
+10 +10

Y=-1/8+10 1/2
Solve for perpendicular
(4, 10) y=8x-1






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