Skills · Linear Equations · Graphing Linear Equations

Perpendicular lines

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. through (12, 2), perpendicular to y = −4x + 1
  2. through (8, 8), perpendicular to y = 4x − 2
  3. through (4, 2), perpendicular to y = 2x − 7
  4. through (12, 9), perpendicular to y = −4x − 5
  5. through (9, 9), perpendicular to y = 3x − 8
  6. through (8, 3), perpendicular to y = 4x − 6
  7. through (3, 4), perpendicular to y = −3x − 7
  8. through (6, 9), perpendicular to y = −3x − 3

Answer key

  1. y = 14x − 1
  2. y = −14x + 10
  3. y = −12x + 4
  4. y = 14x + 6
  5. y = −13x + 12
  6. y = −14x + 5
  7. y = 13x + 3
  8. y = 13x + 7

Sample Sheet · Level 3

  1. through (−6, −3), perpendicular to y = −2x + 1
  2. through (9, 5), perpendicular to x + 3y = −15
  3. through (11, −7), perpendicular to y = 4x − 4
  4. through (9, −3), perpendicular to 3x − y = −1
  5. through (−8, 3), perpendicular to y = −4x − 7
  6. through (3, 8), perpendicular to 4x − 2y = 8
  7. through (6, 8), perpendicular to x − 3y = −12
  8. through (−2, 5), perpendicular to y = 2x + 8

Answer key

  1. y = 12x
  2. y = 3x − 22
  3. y = −14x − 174
  4. y = −13x
  5. y = 14x + 5
  6. y = −12x + 192
  7. y = −3x + 26
  8. y = −12x + 4

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