Free Printable Writing equations of parallel and 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 PARALLEL to that passes through the point (3, 1). $y=-\frac{5}{2}x+10$

a)

$y=-\frac{5}{2}x\ +\ 6$

b)

$y\ =-\frac{5}{2}x+\frac{17}{2}$

c)

$y=\frac{2}{5}x+6$

d)

$y=\frac{2}{5}x+\ 8$

3.

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)

$y=-2x+8$

4.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

5.

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.

6.

Select the two lines that are parallel.

a)

$y=5x-3$

b)

$x\ +\ 5y=2$

c)

$-10y-2x=0$

d)

None are parallel

7.

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.

8.

Select the two lines that are perpendicular.

a)

$2x+6y=-3$

b)

$-1.5y+4.5x=6$

c)

$y=-4x+1$

d)

None are perpendicular.

9.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

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.

Are the lines parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

12.

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

13.

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

14.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

15.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

16.

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

a)

-2

b)

1/2

c)

-1/2

d)

2

Writing equations of parallel and perpendicular lines

Total questions: 16

Worksheet time: 32mins

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