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Perpendicular Lines

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

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

a)

y=12x+12y=-\frac{1}{2}x+\frac{1}{2}

b)

y=12x+2y=\frac{1}{2}x+2

c)

y=2x+7y=-2x+7

d)

y=2x+8y=-2x+8

2.

Write the equation of a line PERPENDICULAR to  y=13x9y=\frac{1}{3}x-9  that passes through the point (-6, 10).

a)

 y=13x9y=\frac{1}{3}x-9 

b)

 y=13x+10y=\frac{1}{3}x+10 

c)

 y=3x+6y=-3x+6 

d)

 y=3x8y=-3x-8 

3.

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

a)

y=13xy=\frac{1}{3}x

b)

y=13x2y=\frac{1}{3}x-2

c)

y=3x+8y=-3x+8

d)

y=13x+103y=\frac{1}{3}x+\frac{10}{3}

4.

Write the equation of a line PERPENDICULAR to -2x + 5y - 3 = 0 that passes through the point (2, -3). 

a)

 =52x112=-\frac{5}{2}x-\frac{11}{2}  

b)

 y=52x+2y=-\frac{5}{2}x+2  

c)

 y=52x+8y=-\frac{5}{2}x+8  

d)

 y=25x+195y=\frac{2}{5}x+\frac{19}{5}   

5.

Select the two lines that are perpendicular.

a)

y=4x2y=4x-2

b)

y=14xy=-\frac{1}{4}x

c)

y=4x+1y=-4x+1

d)

None are perpendicular.

6.

Slopes of perpendicular lines are...

a)

opposite (sign) reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

7.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
8.
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
9.

 5x+y=1-5x+y=1  
What is the slope of a line perpendicular to the line represented by the equation?

a)

 55  

b)

 5-5  

c)

 15\frac{1}{5}  

d)

 15-\frac{1}{5}  

10.

Which equation is the graph of line that is perpendicular to the line  y=67x+7y=-\frac{6}{7}x+7  

a)

 y=67x2y=-\frac{6}{7}x-2  

b)

 y=67x+1y=\frac{6}{7}x+1  

c)

 y=76x8y=\frac{7}{6}x-8  

d)

 y=76x+12y=-\frac{7}{6}x+12