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Write the equation of a line from two points

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.LE.A.2, 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 (4, 0) and (0, −2). Type the right-hand side of y = … (fractions are fine).

    Answer

  2. Question 2

    A line passes through (−3, −7) and (0, −4). The point (5, k) is also on the line. Find k.

    Answer

  3. Question 3

    Find the equation of the line through (4, 12) and (3, 10). Type y = … (just the right-hand side).

    xy−6−4−2246−15150(4, 12)(3, 10)

    Answer

  4. Question 4

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

    Answer

  5. Question 5

    A line passes through (−3, 1) and (3, −11). The point (−2, k) is also on the line. Find k.

    Answer

  6. Question 6

    Find the equation of the line through (0, 1) and (2, 3). Type y = … (just the right-hand side).

    xy−6−4−2246−15150(0, 1)(2, 3)

    Answer

  7. Question 7

    Find the equation of the line through (0, −3) and (4, −5). Type the right-hand side of y = … (fractions are fine).

    Answer

  8. Question 8

    A line passes through (5, 26) and (3, 18). The point (−5, k) is also on the line. Find k.

    Answer

  9. Question 9

    Find the equation of the line through (−1, 9) and (4, −11). Type y = … (just the right-hand side).

    xy−6−4−2246−15150(−1, 9)(4, −11)

    Answer

  10. Question 10

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

    Answer

  11. Question 11

    A line passes through (2, −5) and (3, −8). The point (−4, k) is also on the line. Find k.

    Answer

  12. Question 12

    Find the equation of the line through (−4, −19) and (3, 9). Type y = … (just the right-hand side).

    xy−6−4−2246−15150(−4, −19)(3, 9)

    Answer

  13. Question 13

    Find the equation of the line through (−6, 6) and (−3, 4). Type the right-hand side of y = … (fractions are fine).

    Answer

  14. Question 14

    A line passes through (4, −4) and (−5, 5). The point (2, k) is also on the line. Find k.

    Answer

  15. Question 15

    Find the equation of the line through (4, −11) and (1, −8). Type y = … (just the right-hand side).

    xy−6−4−2246−15150(4, −11)(1, −8)

    Answer

  16. Question 16

    Find the equation of the line through (−4, 0) and (−2, 1). Type the right-hand side of y = … (fractions are fine).

    Answer

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Answer key: Write the equation of a line from two points

  1. 1. (1/2)x-2

  2. 2. 1

  3. 3. 2x+4

  4. 4. -(2/3)x+3

  5. 5. -1

  6. 6. x+1

  7. 7. -(1/2)x-3

  8. 8. -14

  9. 9. -4x+5

  10. 10. (1/2)x+2

  11. 11. 13

  12. 12. 4x-3

  13. 13. -(2/3)x+2

  14. 14. -2

  15. 15. -x-7

  16. 16. (1/2)x+2