# Unit 6: Worksheet 1 Parallel and Perpendicular Lines

```Unit 6: Worksheet 1
Parallel and Perpendicular Lines
Finding Slope
y ! y1
"y
m= 2
or
x2 ! x1
"x
Name_______________________________
Period______
Parallel lines //
Same slope
m1 = 23 m2 = 23
Perpendicular lines ⊥
Opposite reciprocal slope
m1 = 23 m2 = ! 23
Determine if the lines are parallel, perpendicular, or oblique.
2
7
1
1
1. m1 = ! & m2 =
2. m1 = & m2 = !
7
2
4
4
______________________
4.
m1 = !
1
& m2 = !7
7
______________________
5.
7.
y = 23 x + 1
8.
3x ! y = 9
x + 3 y = 36
______________________
6.
y = !5 x + 7
y = ! x !8
1
5
11.
1
x+ y =8
2
2 y = x + 14
!
______________________
m1 =
2
3
& m2 = !
3
2
______________________
9.
______________________
______________________
10.
m1 = 4 & m2 = 2
m1 = !2 & m2 = !2
______________________
______________________
______________________
y = 23 x ! 4
3.
Oblique Lines
Not // or ⊥
Intersecting at any angle
other than 90°
2 x ! 3 y = 12
3x ! 2 y = 4
______________________
12.
y=4
x = !7
______________________
Determine if the lines through the given points are parallel, perpendicular, or oblique.
Find and compare the slopes
13. L1: (0, –1) (5, 9)
14. L1: (–2, –1) (1, 5)
15. L1: (4, 8) (–4, 2)
L2: (0, 3) (4,1)
L2: (1, 3) (5, –5)
L2: (3, –5) (–1, 3)
______________________
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```