Free Printable Equations of parallel and perpendicular

1.

What is the slope in the equation $y=4x+3$

a)

3

b)

4

c)

3x

d)

4x

2.

$y=3x+2$ and $y=3x-3$
These lines are...

a)

the same line

b)

perpendicular

c)

neither

d)

parallel

3.

If two lines are parallel their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

4.

Are these lines parallel?
y = 12x + 4
y = 12x +14

a)

YES

b)

NO

5.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

6.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

7.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

8.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

9.

A line is parallel to y = 2x - 7.
What is it's slope?

a)

-2

b)

1/2

c)

-1/2

d)

2

10.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

11.

Select the two lines that are perpendicular.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are perpendicular.

12.

Are the lines parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

13.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

14.

Which of the following lines is PARALLEL to the graph of $y=6x-3$ ?

a)

$y=-6x+5$

b)

$y=-\frac{1}{6}x-3$

c)

$y=6x+1$

d)

$y=\frac{1}{6}x-3$

15.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

16.

These lines are .....
y=5x-1
y=5x+12

a)

Parallel

b)

Perpendicular

c)

Neither

17.

These lines are....
x=6
y=10

a)

Parallel

b)

Perpendicular

c)

Neither

18.

These lines are....
x=2
x=11

a)

Parallel

b)

Perpendicular

c)

Neither

19.

Are the lines parallel, perpendicular, or neither?

y=x+5

y=x-1

a)

Parallel

b)

Perpendicular

c)

Neither

20.

Are the lines parallel, perpendicular, or neither?
$y=4x+7$ $y=-\frac{1}{4}x+2$

a)

Parallel

b)

Perpendicular

c)

Neither

21.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

22.

Choose the correct option that describes the relationship between the two lines
$y=-x-4$
$y=-x+7$

a)

Parallel

b)

Perpendicular

c)

Conciding

d)

None of the Above

23.

Choose the correct option that describes the relationship between the two lines
$y=2x+5$
$y=3x+6$

a)

Parallel

b)

Perpendicular

c)

Conciding

d)

None of the Above

24.

Choose the correct option that describes the relationship between the two lines
$y=-4x-6$
$y=\frac{1}{4}x-9$

a)

Parallel

b)

Perpendicular

c)

Conciding

d)

None of the Above

25.

Choose the correct option that describes the relationship between the two lines
$y=-\frac{9}{7}x+8$
$y=\frac{7}{9}x-3$

a)

Parallel

b)

Perpendicular

c)

Conciding

d)

None of the Above

26.

Choose the correct option that describes the relationship between the two lines
$y=-20x$
$y=\frac{1}{20}x-13$

a)

Parallel

b)

Perpendicular

c)

Conciding

d)

None of the Above

27.

Two lines that never intersect are considered...

a)

Parallel

b)

Perpendicular

c)

Conciding

d)

None of the Above

28.

Two lines that intersect at a 90-degree angle are considered...

a)

Parallel

b)

Perpendicular

c)

Conciding

d)

None of the Above

29.

Which of the following equations is perpendicular to

y = 3x + 9

a)

y = 3x + 2

b)

y = -3x - 1/3

c)

y = 1/3 x + 6

d)

y = -1/3 x - 1

30.

Determine whether the graph of the given equations is parallel, perpendicular, or neither.

y = 4x + 10

y = 1/4x + 10

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Cannot Be Determined

31.

Select the equations of the two parallel lines:

a)

$y=2x+3$

b)

$y=2x$

c)

$y=\frac{1}{2}x+3$

d)

$y=-2x+3$

32.

Select the equations of the two perpendicular lines:

a)

$y=2x+3$

b)

$y=2x$

c)

$y=\frac{1}{2}x+3$

d)

$y=-2x+3$

33.

Select the equations of the two parallel lines:

a)

$y=-2x+3$

b)

$y=-2x+5$

c)

$y=-\frac{1}{2}x-5$

d)

$y=2x+7$

34.

Select the equations of the two perpendicular lines:

a)

$y=-2x+3$

b)

$y=-2x+5$

c)

$y=-\frac{1}{2}x-5$

d)

$y=2x+7$

35.

Select the equations of the two parallel lines:

a)

$y=-3x+1$

b)

$y=-\frac{1}{3}x+5$

c)

$y=\frac{1}{3}x-5$

d)

$y=-\frac{1}{3}x+7$

36.

Select the equations of the two perpendicular lines:

a)

$y=-3x+1$

b)

$y=-\frac{1}{3}x+5$

c)

$y=\frac{1}{3}x-5$

d)

$y=-\frac{1}{3}x+7$

37.

A line is perpendicular to y = 2x + 4

What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

38.

Which of the following equations represents a line parallel to y = 2x - 1

a)

y = -2x

b)

y = 2x + 1

c)

y = 1/2x-1

d)

y = x

39.

Which of the following equations represents a line perpendicular to y = x - 17?

a)

y = x - 2

b)

y = x + 2

c)

y = -x - 1

d)

y = -1/x + 1

40.

Which is the equation of the line with y-intercept −2 and slope 6.

a)

y = −2x + 6

b)

y = 3x

c)

y = −2x − 6

d)

y = 6x − 2

41.

Select the two lines that are parallel.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are parallel.

42.

Level 3

Which two equations below are parallel?

a)

y = 2x + 1 and y = -1/2x + 1

b)

y = 2x + 3 and y = -2x + 3

c)

y = 2x - 1 and y = 1/2x - 1

d)

y = -x + 4 and y = -x + 2

43.

Level 3

Which two equations below are perpendicular?

a)

y = -3x + 2 and y = -2x + 2

b)

y = 3x + 1 and y = 3x + 1

c)

y = -x + 1 and y = -x - 2

d)

y = 3x - 4 and y = -1/3x - 2

44.

What is the slope of the line parallel to y = 4x + 5

a)

m = 4

b)

m = -4

c)

m = $\frac{1}{4}$

d)

m = $-\frac{1}{4}$

45.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

46.

y= x + 3 and y= -x - 5

a)

Perpendicular

b)

Parallel

c)

Neither

47.

What is the relationship between these two equations?
y = 1/3x + 3
y = -3x + 900

a)

parallel

b)

perpendicular

c)

neither

48.

Level 2

Which equation is perpendicular to:

y = -6x +2

a)

y = 6x +1

b)

y = 1/6x +4

c)

y = -6x +3

d)

y = -1/6x +5

49.

Level 3:

Which line is perpendicular to

y = x + 9 ?

a)

y = - x + 8

b)

y = ¹/₂x + 9

c)

y = ^-1/₂x + 9

d)

y = x - 9

50.

$y=2x+1\ and\ y=2x-4$

a)

The lines are parallel.

b)

The lines are perpendicular.

c)

The lines are neither.

Equations of parallel and perpendicular

Total questions: 50

Worksheet time: 38mins

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