Parallel and Perpendicular Lines
Name: ______________________________________
I. Parallel Lines
Write an equation for each line.
1.
A
B
2.
3.
A
B
A
B
Line A: _______________________________
Line A: _______________________________
Line A: _______________________________
Line B: _______________________________
Line B: _______________________________
Line B: _______________________________
4. What does each pair of lines have in common? ______________________________________________________________
5. If two lines have the same ___________________, they are parallel.
Group the equations below into three sets of parallel lines.
y = 2x
y = 3x + 2
y = 4 + 2x
y = 2 + 4x
y = 4x + 3
y = 3x
Group 1
Group 2
Group 3
II. Perpendicular Lines
Write an equation for each line.
A
B
1.
B
3.
A
2.
A
B
Line A: _______________________________
Line A: _______________________________
Line A: _______________________________
Line B: _______________________________
Line B: _______________________________
Line B: _______________________________
6. How are the slopes of the lines related? ______________________________________________________________
7. If two lines are perpendicular the slopes are ______________________________________________________________.
Group the equations below into three sets of perpendicular lines.
y = 2 - 4x
y = 2x
y=

1
x+3
4
y=4–

1
x
2
2
3
y=- x


y=
3
x+2
2
Group 1
Group 2
Group 3
III. Draw a line parallel to the line below:
IV. Draw a line perpendicular to the line below:
Write an equation for the parallel line you drew:
Write an equation for the parallel line you drew:
______________________________________________________
______________________________________________________
Determine whether each pair of representations of linear equations is parallel, perpendicular or neither.