Free Printable Perpendicular Lines

1.

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

2.

y < -4 y > -4 y ≤ -4 y ≥ -4

a)

y < -4

b)

y > -4

c)

y ≤ -4

d)

y ≥ -4

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.

Identify a pair of pependicular lines.

a)

Lines AB and CD

b)

Lines AB and BD

c)

Lines AC and BD

d)

LInes BC and BD

5.

Is line e perpendicular to line g?

a)

Yes, because line e is perpendicular to line f, and lines f and g are parallel.

b)

No, because while line e is perpendicular to line f, we don't have enough information to know lines f and g are parallel.

6.

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

7.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

8.

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

9.

What is the slope of a line perpendicular to the line whose equation is: -katex latex="-2x+y=-7"?

a)

-2

b)

1/2

c)

-1/2

d)

2

10.

Slopes of perpendicular lines are...

a)

opposite (sign) reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

11.

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

12.

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

a)

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

b)

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

c)

$y=-3x+8$

d)

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

13.

Write the equation of a line PERPENDICULAR to -2x + 5y - 3 = 0 that 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)

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

14.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

opposites

c)

identical

d)

nothing

15.

Type the gradient of a line that would be perpendicular to

(a)

16.

Type the gradient of a line that would be perpendicular to

(a)

17.

Type the gradient of a line that would be perpendicular to

$y=-\frac{5}{7}x+1$

(a)

18.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

19.

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

Perpendicular Lines

Total questions: 19

Worksheet time: 19mins

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