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Find the equation of a line through two points

8th grade (Year 9 in England) · 16 questions · Common Core: 8.F.B.4 · England: KS3 Algebra, GCSE Foundation Algebra

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Date

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  1. Question 1

    A line has slope 1 and passes through (4, −5). What is its y-intercept?

    Answer

  2. Question 2

    Find the equation of the line through (0, 0) and (4, 16). Type the right-hand side (y = …).

    Answer

  3. Question 3

    A line has slope 1 and passes through (4, 0). What is its y-intercept?

    Answer

  4. Question 4

    Find the equation of the line through (0, 8) and (2, 18). Type the right-hand side (y = …).

    Answer

  5. Question 5

    A line has slope −3 and passes through (3, −2). What is its y-intercept?

    Answer

  6. Question 6

    Find the equation of the line through (1, 11) and (2, 13). Type the right-hand side (y = …).

    Answer

  7. Question 7

    A line has slope 3 and passes through (2, 4). What is its y-intercept?

    Answer

  8. Question 8

    Find the equation of the line through (0, −4) and (2, −6). Type the right-hand side (y = …).

    Answer

  9. Question 9

    A line has slope 4 and passes through (3, 18). What is its y-intercept?

    Answer

  10. Question 10

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

    Answer

  11. Question 11

    A line has slope 1 and passes through (3, 2). What is its y-intercept?

    Answer

  12. Question 12

    Find the equation of the line through (0, −8) and (4, 0). Type the right-hand side (y = …).

    Answer

  13. Question 13

    A line has slope −2 and passes through (1, 4). What is its y-intercept?

    Answer

  14. Question 14

    Find the equation of the line through (−4, −1) and (−2, −3). Type the right-hand side (y = …).

    Answer

  15. Question 15

    A line has slope −4 and passes through (3, −15). What is its y-intercept?

    Answer

  16. Question 16

    Find the equation of the line through (1, −6) and (2, −10). Type the right-hand side (y = …).

    Answer

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Answer key: Find the equation of a line through two points

  1. 1. -9

  2. 2. 4x

  3. 3. -4

  4. 4. 5x+8

  5. 5. 7

  6. 6. 2x+9

  7. 7. -2

  8. 8. -x-4

  9. 9. 6

  10. 10. 2x

  11. 11. -1

  12. 12. 2x-8

  13. 13. 6

  14. 14. -x-5

  15. 15. -3

  16. 16. -4x-2