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Practice - parallel and perpendicular lines

Total questions: 33

Worksheet time: 8hrs 15mins

Name
Class
Date
1.
Which figure shows a set of parallel lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
2.
Which figure shows a set of perpendicular lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
3.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

4.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
5.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
6.

Which line is perpendicular to

y = 2x - 7 ?

a)

y = -2x + 8

b)

y = 1/2x - 7

c)

y = -1/2x + 2

d)

y = 2x - 3

7.
What is the slope of a line perpendicular to a line with slope -6/?
a)
-6/5
b)
-5/6
c)
5/6
d)
-4/3
8.
Perpendicular lines have the same slope.
a)
True
b)
False
9.
Which figure shows a set of parallel lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
10.
Which figure shows a set of perpendicular lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
11.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

12.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

13.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
14.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
15.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 with a y-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

16.

Which line is perpendicular to

y = 2x - 7 ?

a)

y = -2x + 8

b)

y = 1/2x - 7

c)

y = -1/2x + 2

d)

y = 2x - 3

17.

What is the slope of the lline parallel to

y = 2x - 7 ?

(a)  

18.
What is the slope of a line perpendicular to a line with slope -6/?
a)
-6/5
b)
-5/6
c)
5/6
d)
-4/3
19.
Perpendicular lines have the same slope.
a)
True
b)
False
20.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 3/4 and m = 4/3
a)
Parallel
b)
Perpendicular
c)
Neither
21.

The following represents slopes of two lines. Are they parallel, perpendicular, or neither?

m = 1/5 and m = 1/5

(a)  

22.

-6x + y = 2

y = 6x - 5

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

23.

-6x + y = 2

y = 6x - 5

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

24.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
25.
Determine the slope and y-intercept from the following equation:   2y = 3x + 6
a)
m: 2/3   b:  (0,3) 
b)
m: 3/2   b:  (0,3) 
c)
m:  4  b:  (0,3/2)
d)
m: 1/5   b:  (0,5) 
26.
Which equation represents slope intercept form?
a)
y - 1 = 2(x + 3)
b)
5y=x+5
c)
y=2x+5
d)
4y+2x=8
27.
What is the equation of this line in slope-intercept form?
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = -2x
d)
y = 5
28.

Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7

a)

y = 2/9x + 8

b)

y = 9/2x -12

c)

-2y = 9x + 8

d)

9y = 2x -18

29.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
30.
y = 3/2x + 2
y = 2/3x + 6
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
31.

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

a)

y = 3/4x - 3

b)

y = -3/4x + 9

c)

y = -4/3x + 8

d)

3y = -4x + 5

e)

4y = -3x + 7

32.
-6x + y = 2
6x + y = 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
33.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2