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Write the equation of a parallel line

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

A parallel line has the same slope. Use the point to find b.

  1. Write the equation of the line through (2, −10) that is parallel to y = −5x + 4. Use the form y = mx + b.
  2. Write the equation of the line through (−2, −3) that is parallel to y = 5x + 8. Use the form y = mx + b.
  3. Write the equation of the line through (4, −10) that is parallel to y = 5x − 1. Use the form y = mx + b.
  4. Write the equation of the line through (0, 6) that is parallel to y = 2x + 2. Use the form y = mx + b.
  5. Write the equation of the line through (8, −10) that is parallel to y = −3x + 3. Use the form y = mx + b.
  6. Write the equation of the line through (−1, −11) that is parallel to y = 2x − 5. Use the form y = mx + b.
  7. Write the equation of the line through (1, −15) that is parallel to y = 6x + 4. Use the form y = mx + b.
  8. Write the equation of the line through (−7, 4) that is parallel to y = −5x + 2. Use the form y = mx + b.
  9. Write the equation of the line through (−2, 14) that is parallel to y = −2x + 1. Use the form y = mx + b.
  10. Write the equation of the line through (2, −10) that is parallel to y = −7x − 1. Use the form y = mx + b.
  11. Write the equation of the line through (8, 10) that is parallel to y = 2x − 1. Use the form y = mx + b.
  12. Write the equation of the line through (−10, −17) that is parallel to y = −10x − 4. Use the form y = mx + b.
  13. Write the equation of the line through (12, −7) that is parallel to y = 8x + 5. Use the form y = mx + b.
  14. Write the equation of the line through (−11, −12) that is parallel to y = 11x + 5. Use the form y = mx + b.
  15. Write the equation of the line through (−3, 15) that is parallel to y = −6x + 9. Use the form y = mx + b.
  16. Write the equation of the line through (−10, −2) that is parallel to y = 3x + 5. Use the form y = mx + b.
  17. Write the equation of the line through (−8, −12) that is parallel to y = −8x − 9. Use the form y = mx + b.
  18. Write the equation of the line through (−6, −8) that is parallel to y = 5x + 4. Use the form y = mx + b.
  19. Write the equation of the line through (1, −14) that is parallel to y = −7x − 6. Use the form y = mx + b.
  20. Write the equation of the line through (−2, 20) that is parallel to y = 8x + 1. Use the form y = mx + b.
More free practice: fieldbooklearning.com/au/practice/year-8/write-the-equation-of-a-parallel-line/

Answer key: Write the equation of a parallel line

  1. y = -5x
  2. y = 5x + 7
  3. y = 5x - 30
  4. y = 2x + 6
  5. y = -3x + 14
  6. y = 2x - 9
  7. y = 6x - 21
  8. y = -5x - 31
  9. y = -2x + 10
  10. y = -7x + 4
  11. y = 2x - 6
  12. y = -10x - 117
  13. y = 8x - 103
  14. y = 11x + 109
  15. y = -6x - 3
  16. y = 3x + 28
  17. y = -8x - 76
  18. y = 5x + 22
  19. y = -7x - 7
  20. y = 8x + 36