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Find the equation of a line

8th grade (Year 9 in England) · 16 questions · Common Core: 8.F.B.4, HSA.CED.A.2 · England: GCSE Foundation Algebra, GCSE Higher Algebra

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  1. Question 1

    Find the equation of the line through (1, −2) and (3, −6). Type the right-hand side of y = … .

    Answer

  2. Question 2

    A line has slope −2 and crosses the y-axis at −3. Write its equation as y = … (type the right-hand side).

    Answer

  3. Question 3

    Find the equation of the line through (2, 4) and (4, 12). Type the right-hand side of y = … .

    Answer

  4. Question 4

    A line has slope 4 and crosses the y-axis at −6. Write its equation as y = … (type the right-hand side).

    Answer

  5. Question 5

    Find the equation of the line through (0, −3) and (3, 3). Type the right-hand side of y = … .

    Answer

  6. Question 6

    A line has slope 3 and crosses the y-axis at 7. Write its equation as y = … (type the right-hand side).

    Answer

  7. Question 7

    Find the equation of the line through (−3, 15) and (0, 6). Type the right-hand side of y = … .

    Answer

  8. Question 8

    A line has slope −4 and crosses the y-axis at 1. Write its equation as y = … (type the right-hand side).

    Answer

  9. Question 9

    Find the equation of the line through (2, −5) and (6, −9). Type the right-hand side of y = … .

    Answer

  10. Question 10

    A line has slope 5 and crosses the y-axis at 8. Write its equation as y = … (type the right-hand side).

    Answer

  11. Question 11

    Find the equation of the line through (1, 8) and (3, 16). Type the right-hand side of y = … .

    Answer

  12. Question 12

    A line has slope 1 and crosses the y-axis at 0. Write its equation as y = … (type the right-hand side).

    Answer

  13. Question 13

    Find the equation of the line through (−1, 0) and (3, 8). Type the right-hand side of y = … .

    Answer

  14. Question 14

    A line has slope −2 and crosses the y-axis at −8. Write its equation as y = … (type the right-hand side).

    Answer

  15. Question 15

    Find the equation of the line through (−1, −5) and (2, −2). Type the right-hand side of y = … .

    Answer

  16. Question 16

    A line has slope 5 and crosses the y-axis at 6. Write its equation as y = … (type the right-hand side).

    Answer

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Answer key: Find the equation of a line

  1. 1. -2x

  2. 2. -2x-3

  3. 3. 4x-4

  4. 4. 4x-6

  5. 5. 2x-3

  6. 6. 3x+7

  7. 7. -3x+6

  8. 8. -4x+1

  9. 9. -x-3

  10. 10. 5x+8

  11. 11. 4x+4

  12. 12. x

  13. 13. 2x+2

  14. 14. -2x-8

  15. 15. x-4

  16. 16. 5x+6