Application
Slopes and Parallel and Perpendicular Lines

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?

line between points (1, 4) and (4, -5)

    Parallel:
    Perpendicular:

  1. 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
  1. 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

  2. Determine if the following lines are parallel, perpendicular, or neither.

y =2/3x + 5
−4x + 6y = −8

  1. Determine if the following lines are parallel, perpendicular, or neither.

    y = 4x+2
    −8x + 2y = 6

  2. Determine if the following lines are parallel, perpendicular, or neither.

    6x + 10y = 20
    y =
    5/3x + 1

  3. What are the possible coordinates of C, so that DC is parallel to line m?

line between points (-1, -2) and (3, 6)

This activity is also available in a printable document.

 

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