Slopes of Lines
Name __________________________
Period ______
Determine the slope of the line passing through the following points. Also find the slope of a
line parallel and perpendicular to the slope of the original points.
1)
2
2
1
m  , m  , m  
1
1
2
4) m  0, m  0, m  undefined
2)
5
5
3
m   , m   , m 
3
3
5
3)
5)
2
2
1
m   , m   , m 
1
1
2
6)
3
3
2
m  , m  , m  
2
2
3
m  undefined ,
m  undefined , m  0
Find the following for each equation.
A. Slope of a line parallel to the given line.
B. Make a new equation that would be parallel to the given equation.
7)
y
2
x
3
8)
1
y  x
4
9)
y
3
x
2
Find the following for each equation.
A. Slope of a line perpendicular to the given line.
B. Make a new equation that would be perpendicular to the given equation.
10)
y
2
x
5
11) y  6 x 
12) y   x 
Determine if the following lines are parallel, perpendicular, or neither. Be able to show proof of your answer.
13) Perpendicular
14) Neither
15) Parallel
16) Perpendicular
17) Neither
18) Parallel
Find the slope of each that passes through the points
19) m
1
2
20) m
4
5
9
4
21) m
Find the slope each line, Are the lines parallel?
22) mAB
1
mCD
4
1
4
23) mAB
Parallel
25) mAB
2
mCD
5
2
4
Not Parallel
3
mCD
4
Not Perpendicular
1
1
26) mAB
2
mCD
1
Perpendicular
24) mAB
4
mCD
1
4
1
Parallel
1
2
27) mAB
2
mCD
7
Perpendicular
7
2
28) m1
4
m2
3
4
3
29) m1
Neither
31) m1
11
m2
12
Parallel
1
m2
6
1
6
Parallel
11
12
32) m1
3
m2
5
30) m1
Perpendicular
6
m2
11
11
6
33) m1
Perpendicular
2
m2
1
2
1
Parallel
Graph the line parallel to line AB that passes through point P. (pick 2)
34)
35)
36)
Graph the line perpendicular to AB that passes through point P. (pick 2)
37)
40) y
38)
11
41) y
5
3
39)
4
42) x
6