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Write the equation of a line from two points

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

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Score/ 16

  1. Question 1

    Find the equation of the line through (1, 0) and (0, 4). Type y = … (just the right-hand side).

    xyβˆ’6βˆ’4βˆ’2246βˆ’15150(1, 0)(0, 4)

    Answer

  2. Question 2

    Find the equation of the line through (βˆ’3, 1) and (βˆ’6, βˆ’1). Type the right-hand side of y = … (fractions are fine).

    Answer

  3. Question 3

    A line passes through (βˆ’5, βˆ’18) and (2, 3). The point (βˆ’1, k) is also on the line. Find k.

    Answer

  4. Question 4

    Find the equation of the line through (βˆ’2, 7) and (βˆ’4, 13). Type y = … (just the right-hand side).

    xyβˆ’6βˆ’4βˆ’2246βˆ’15150(βˆ’2, 7)(βˆ’4, 13)

    Answer

  5. Question 5

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

    Answer

  6. Question 6

    A line passes through (3, βˆ’3) and (βˆ’3, 9). The point (0, k) is also on the line. Find k.

    Answer

  7. Question 7

    Find the equation of the line through (2, βˆ’11) and (1, βˆ’8). Type y = … (just the right-hand side).

    xyβˆ’6βˆ’4βˆ’2246βˆ’15150(2, βˆ’11)(1, βˆ’8)

    Answer

  8. Question 8

    Find the equation of the line through (βˆ’6, 3) and (0, 5). Type the right-hand side of y = … (fractions are fine).

    Answer

  9. Question 9

    A line passes through (βˆ’5, βˆ’16) and (2, 12). The point (5, k) is also on the line. Find k.

    Answer

  10. Question 10

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

    xyβˆ’6βˆ’4βˆ’2246βˆ’15150(2, 1)(βˆ’2, 5)

    Answer

  11. Question 11

    Find the equation of the line through (βˆ’6, 4) and (3, βˆ’2). Type the right-hand side of y = … (fractions are fine).

    Answer

  12. Question 12

    A line passes through (βˆ’5, βˆ’16) and (βˆ’2, βˆ’10). The point (βˆ’3, k) is also on the line. Find k.

    Answer

  13. Question 13

    Find the equation of the line through (βˆ’2, 15) and (3, βˆ’5). Type y = … (just the right-hand side).

    xyβˆ’6βˆ’4βˆ’2246βˆ’15150(βˆ’2, 15)(3, βˆ’5)

    Answer

  14. Question 14

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

    Answer

  15. Question 15

    A line passes through (1, βˆ’1) and (βˆ’1, βˆ’3). The point (5, k) is also on the line. Find k.

    Answer

  16. Question 16

    Find the equation of the line through (4, 7) and (1, 1). Type y = … (just the right-hand side).

    xyβˆ’6βˆ’4βˆ’2246βˆ’15150(4, 7)(1, 1)

    Answer

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  1. -4x+4
  2. (2/3)x+3
  3. -6
  4. -3x+1
  5. (1/2)x+2
  6. 3
  7. -3x-5
  8. (1/3)x+5
  9. 24
  10. -x+3
  11. -(2/3)x
  12. -12
  13. -4x+7
  14. -(1/2)x
  15. 3
  16. 2x-1