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Use point-slope form y βˆ’ y₁ = m(x βˆ’ x₁)

9th grade (Year 10 in England) Β· 16 questions Β· Common Core: HSA.CED.A.2, HSF.LE.A.2 Β· England: GCSE Higher Algebra

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  1. Question 1

    Write y βˆ’ 1 = (x βˆ’ 6) in the form y = mx + b. Type the right-hand side.

    Answer

  2. Question 2

    Which equation is the line through (βˆ’1, βˆ’1) with slope βˆ’3?

    • A. y + 1 = 3(x + 1)
    • B. x + 1 = βˆ’3(y + 1)
    • C. y βˆ’ 1 = βˆ’3(x βˆ’ 1)
    • D. y + 1 = βˆ’3(x + 1)
  3. Question 3

    Fatima's phone plan costs 5 more for each extra gigabyte of data. A month with 11 GB costs 72. Using cost = m Γ— GB + b, find b, the fixed monthly charge.

    Answer

  4. Question 4

    Write y βˆ’ 1 = βˆ’3(x βˆ’ 4) in the form y = mx + b. Type the right-hand side.

    Answer

  5. Question 5

    Which equation is the line through (6, 1) with slope 5?

    • A. y βˆ’ 6 = 5(x βˆ’ 1)
    • B. y βˆ’ 1 = βˆ’5(x βˆ’ 6)
    • C. y βˆ’ 1 = 5(x βˆ’ 6)
    • D. x βˆ’ 6 = 5(y βˆ’ 1)
  6. Question 6

    Liam's phone plan costs 6 more for each extra gigabyte of data. A month with 10 GB costs 79. Using cost = m Γ— GB + b, find b, the fixed monthly charge.

    Answer

  7. Question 7

    Write y βˆ’ 2 = βˆ’2(x + 1) in the form y = mx + b. Type the right-hand side.

    Answer

  8. Question 8

    Which equation is the line through (3, 1) with slope βˆ’3?

    • A. y + 1 = βˆ’3(x + 3)
    • B. x βˆ’ 3 = βˆ’3(y βˆ’ 1)
    • C. y βˆ’ 3 = βˆ’3(x βˆ’ 1)
    • D. y βˆ’ 1 = βˆ’3(x βˆ’ 3)
  9. Question 9

    Aisha's phone plan costs 2 more for each extra gigabyte of data. A month with 9 GB costs 40. Using cost = m Γ— GB + b, find b, the fixed monthly charge.

    Answer

  10. Question 10

    Write y + 3 = 2(x βˆ’ 3) in the form y = mx + b. Type the right-hand side.

    Answer

  11. Question 11

    Which equation is the line through (5, βˆ’2) with slope βˆ’5?

    • A. y + 2 = βˆ’5(x βˆ’ 5)
    • B. y + 2 = 5(x βˆ’ 5)
    • C. x βˆ’ 5 = βˆ’5(y + 2)
    • D. y βˆ’ 2 = βˆ’5(x + 5)
  12. Question 12

    Kwame's phone plan costs 5 more for each extra gigabyte of data. A month with 5 GB costs 48. Using cost = m Γ— GB + b, find b, the fixed monthly charge.

    Answer

  13. Question 13

    Write y βˆ’ 6 = 3(x βˆ’ 2) in the form y = mx + b. Type the right-hand side.

    Answer

  14. Question 14

    Which equation is the line through (βˆ’5, 6) with slope 2?

    • A. y + 6 = 2(x βˆ’ 5)
    • B. y + 5 = 2(x βˆ’ 6)
    • C. y βˆ’ 6 = 2(x + 5)
    • D. x + 5 = 2(y βˆ’ 6)
  15. Question 15

    Grace's phone plan costs 2 more for each extra gigabyte of data. A month with 3 GB costs 14. Using cost = m Γ— GB + b, find b, the fixed monthly charge.

    Answer

  16. Question 16

    Write y βˆ’ 3 = 5(x βˆ’ 3) in the form y = mx + b. Type the right-hand side.

    Answer

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Answer key: Use point-slope form y βˆ’ y₁ = m(x βˆ’ x₁)

  1. 1. x-5

  2. 2. D. y + 1 = βˆ’3(x + 1)

  3. 3. 17

  4. 4. -3x+13

  5. 5. C. y βˆ’ 1 = 5(x βˆ’ 6)

  6. 6. 19

  7. 7. -2x

  8. 8. D. y βˆ’ 1 = βˆ’3(x βˆ’ 3)

  9. 9. 22

  10. 10. 2x-9

  11. 11. A. y + 2 = βˆ’5(x βˆ’ 5)

  12. 12. 23

  13. 13. 3x

  14. 14. C. y βˆ’ 6 = 2(x + 5)

  15. 15. 8

  16. 16. 5x-12