Parallel and Perpendicular Lines

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Show your work for each problem.

1.
Which pair of lines is parallel?
1. a) and
2. b) and
3. c) and
4. d) and
2.
Which pair of lines is perpendicular?
1. a) and
2. b) and
3. c) and
4. d) and
3.
What is the slope of a line parallel to ?
4.
What is the slope of a line perpendicular to ?
5.
The lines and are:
1. a)Parallel
2. b)Neither parallel nor perpendicular
3. c)The same line
4. d)Perpendicular
6.
What is the slope of a line perpendicular to ?
7.
Write the equation of a line parallel to that passes through .
8.
Write the equation of a line perpendicular to that passes through .
9.
What is the relationship between and ?
1. a)Perpendicular
2. b)Same line
3. c)Neither
4. d)Parallel
10.
Line passes through and . Line is perpendicular to Line . What is the slope of Line ?
11.
Find the equation of a line through perpendicular to .
12.
Line has equation . Find the equation of line that is perpendicular to and passes through .
13.
Which value of makes the lines and perpendicular?
1. a)
2. b)
3. c)
4. d)
14.
A line parallel to passes through . What is the y-intercept of this line?
15.
Find the equation of the line through that is parallel to the line through and .
16.
If two lines are perpendicular and one has slope , what is the slope of the other?
17.
Determine if the triangle with vertices , , and has a right angle.
18.
The lines and are perpendicular. What is the value of ?
1. a)
2. b)
3. c)
4. d)