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Classify pairs of lines as parallel, perpendicular or neither

9th grade (Year 10 in England) Β· 16 questions Β· Common Core: HSG.GPE.B.5 Β· England: GCSE Higher Algebra

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Date

Score/ 16

  1. Question 1

    Line 1: βˆ’4x + 2y = βˆ’6 Line 2: βˆ’12x + 6y = βˆ’6 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  2. Question 2

    Line 1: y = (1/3)x + 3 Line 2: y = (1/3)x + 7 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  3. Question 3

    Line 1: βˆ’3x βˆ’ y = βˆ’4 Line 2: 2x βˆ’ 6y = 12 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  4. Question 4

    Line 1: y = x βˆ’ 4 Line 2: y = βˆ’x βˆ’ 7 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  5. Question 5

    Line 1: 4x βˆ’ 2y = βˆ’3 Line 2: 12x βˆ’ 6y = βˆ’30 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  6. Question 6

    Line 1: y = βˆ’2x + 1 Line 2: y = βˆ’2x + 5 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  7. Question 7

    Line 1: βˆ’6x βˆ’ 3y = 5 Line 2: y = 0 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  8. Question 8

    Line 1: y = x βˆ’ 1 Line 2: y = x + 3 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  9. Question 9

    Line 1: βˆ’3x + y = βˆ’4 Line 2: 6x βˆ’ 2y = 12 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  10. Question 10

    Line 1: y = βˆ’x + 2 Line 2: y = x + 5 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  11. Question 11

    Line 1: βˆ’9x βˆ’ 3y = 3 Line 2: x + y = βˆ’6 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  12. Question 12

    Line 1: y = (1/3)x + 2 Line 2: y = βˆ’3x βˆ’ 2 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  13. Question 13

    Line 1: βˆ’4x + 2y = βˆ’4 Line 2: x + 2y = βˆ’4 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  14. Question 14

    Line 1: y = x + 5 Line 2: y = 2x + 4 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  15. Question 15

    Line 1: 2x βˆ’ y = βˆ’1 Line 2: 6x βˆ’ 3y = 0 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither
  16. Question 16

    Line 1: y = (4/3)x + 1 Line 2: y = (4/3)x + 4 Are the lines parallel, perpendicular or neither?

    • A. Parallel
    • B. Perpendicular
    • C. Neither

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Answer key: Classify pairs of lines as parallel, perpendicular or neither

  1. 1. A. Parallel

  2. 2. A. Parallel

  3. 3. B. Perpendicular

  4. 4. B. Perpendicular

  5. 5. A. Parallel

  6. 6. A. Parallel

  7. 7. C. Neither

  8. 8. A. Parallel

  9. 9. A. Parallel

  10. 10. B. Perpendicular

  11. 11. C. Neither

  12. 12. B. Perpendicular

  13. 13. B. Perpendicular

  14. 14. C. Neither

  15. 15. A. Parallel

  16. 16. A. Parallel