Slopes and Parallel and Perpendicular Lines Problem Set

Use your knowledge of the slopes of parallel and perpendicular lines to answer the following questions.

1. Given: P(1,3) and Q(3,7)
   What is the slope of PQ ?
   
   
2. What is the slope between the points (−5,−1) and (−8,3)?
   
   
3. What is the slope of a line that is perpendicular to a line that contains the points A(−12,5) and B(−2,3)?
   
   
4. What is the slope of a line that is parallel and perpendicular to the line on the graph?
   

Parallel:
Perpendicular:

5. Choose which of the following equations is parallel to the line y = −6x + 5.
   
   
   1. y = 1/6x − 3
   2. y = 6x + 1
   3. y = −1/6x + 4
   4. y = −6x − 2

6. Which of the followings equations is perpendicular to the line y =1/5x − 3?
   1. y = 1/5x + 12
   2. y = −1/5x − 8
   3. y = −5x + 7
   4. y = 5x + 9
      
      
7. Determine if the following lines are parallel, perpendicular, or neither.

y =2/3x + 5
−4x + 6y = −8

8. Determine if the following lines are parallel, perpendicular, or neither.
   
   y = 4x+2
   −8x + 2y = 6
   
   
9. Determine if the following lines are parallel, perpendicular, or neither.
   
   6x + 10y = 20
   y =5/3x + 1
   
   
10. What are the possible coordinates of C, so that DC is parallel to line m?

This activity is also available in a printable document.

After completing this assignment, please submit your work to the dropbox.