Free Printable Parallel & Perpendicular lines

1.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

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

2.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

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

b)

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

c)

$y=-2x+7$

d)

$y=-2x+8$

3.

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.

4.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

5.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

6.

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

a)

parallel

b)

perpendicular

c)

neither parallel nor perpendicular

d)

both parallel and perpendicular

7.

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

a)

$y=4x-2$

b)

$y=4x+8$

c)

$y=\frac{1}{4}x-2$

d)

$y=-\frac{1}{4}x-2$

8.

Are the equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

9.

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

10.

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

11.

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

12.

What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).

a)

y = -3x + 10

b)

y= 1/3x +10

c)

y = -1/3x +10

d)

y = 3x -15

13.

Write an equation that is parallel to the line
y = x - 5 through (1, -2)

a)

y = -3x +1

b)

y = x - 3

c)

y = x + 1

d)

y = 3x +1

14.

Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)

a)

y = -7/2x + 4

b)

y = -4x - 7/2

c)

y = 4x - 7/2

d)

y = 7/2x + 4

15.

Write an equation of a line parallel to y = x + 3 through (5, 3)

a)

y = x + 2

b)

y = -2x + 1

c)

y = 2x + 1

d)

y = x - 2

16.

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

a)

y = -3x + 1/5

b)

y = -3x - 1/5

c)

y = 1/5x - 3

d)

y = -1/5x - 3

17.

Which line is perpendicular to
4y + 3x =12?

a)

8x - 6y= 18

b)

y= -3x + 8

c)

3x + 4y = 8

d)

y + 4x = -3

18.

Line m has positive slope. Which of the following is true?

a)

The slope of a line parallel to m is positive.

b)

The slope of a line parallel to m may be positive or negative.

c)

The slope of a line perpendicular to m is positive.

d)

^{The slope of a line perpendicular to m may be either positive or negative.}

19.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

zero.

20.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

21.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

22.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

23.

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

24.

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

25.

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

a)

y = 4x + 6

b)

y = 4x + 14

c)

y = 3x + 12

d)

y = -1/4x + 11/2

Parallel & Perpendicular lines

Total questions: 25

Worksheet time: 3hrs 44mins

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