Free Printable Equations of Perpendicular Lines

1.

If two lines are parallel their slopes are ____________

a)

the same.

b)

opposite reciprocals of each other.

2.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

opposite reciprocals of each other.

3.

Are the lines below parallel, perpendicular or neither?

$y=4x+3$

y=-\frac{1}{4}x+8

a)

Parallel

b)

Perpendicular

c)

Neither

4.

Are the lines below parallel, perpendicular or neither?

$y=-\frac{1}{2}x+7$

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

a)

Parallel

b)

Perpendicular

c)

Neither

5.

Are the lines below parallel, perpendicular or neither?

$y=3x+1$

y=3x

a)

Parallel

b)

Perpendicular

c)

Neither

6.

Write the equation of a line PERPENDICULAR to y = -2x + 1 and 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)

$y=-2x+8$

7.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ and 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)

$y=-3x-8$

8.

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

a)

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

b)

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

c)

$y=-3x+8$

d)

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

9.

Write the equation of a line PERPENDICULAR to $y=\frac{2}{5}x+\frac{3}{5}$ and passes through the point (2, -3).

a)

$=-\frac{5}{2}x-\frac{11}{2}$

b)

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

c)

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

d)

$y=\frac{2}{5}x+\frac{19}{5}$

10.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line $y=\frac{1}{2}x-9$

a)

y = 2x - 24

b)

y = -2x + 12

c)

y = -2x + 24

d)

y = 2x - 12

Equations of Perpendicular Lines

Total questions: 10

Worksheet time: 50mins

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