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Write the equation of a line from two points

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Find the slope from the two points, then use a point to find b.

  1. Write the equation of the line through (−6, 16) and (5, −17) in the form y = mx + b.
  2. Write the equation of the line through (−3, −2) and (−2, −4) in the form y = mx + b.
  3. Write the equation of the line through (−1, −11) and (−4, −17) in the form y = mx + b.
  4. Write the equation of the line through (0, 0) and (3, 6) in the form y = mx + b.
  5. Write the equation of the line through (5, −32) and (−3, 16) in the form y = mx + b.
  6. Write the equation of the line through (6, −16) and (7, −18) in the form y = mx + b.
  7. Write the equation of the line through (7, 20) and (−7, −22) in the form y = mx + b.
  8. Write the equation of the line through (−4, 23) and (−2, 13) in the form y = mx + b.
  9. Write the equation of the line through (−1, −9) and (−3, −27) in the form y = mx + b.
  10. Write the equation of the line through (−9, −64) and (−10, −71) in the form y = mx + b.
  11. Write the equation of the line through (−3, −36) and (10, 94) in the form y = mx + b.
  12. Write the equation of the line through (−6, −48) and (10, 96) in the form y = mx + b.
  13. Write the equation of the line through (5, 13) and (7, 21) in the form y = mx + b.
  14. Write the equation of the line through (8, 19) and (1, −2) in the form y = mx + b.
  15. Write the equation of the line through (−1, −5) and (6, 37) in the form y = mx + b.
  16. Write the equation of the line through (−8, −39) and (−5, −24) in the form y = mx + b.
  17. Write the equation of the line through (14, −106) and (8, −58) in the form y = mx + b.
  18. Write the equation of the line through (−10, −17) and (13, 29) in the form y = mx + b.
  19. Write the equation of the line through (2, −19) and (−4, 17) in the form y = mx + b.
  20. Write the equation of the line through (8, −77) and (6, −57) in the form y = mx + b.
More free practice: fieldbooklearning.com/au/practice/year-8/write-the-equation-of-a-line-from-two-points/

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

  1. y = -3x - 2
  2. y = -2x - 8
  3. y = 2x - 9
  4. y = 2x
  5. y = -6x - 2
  6. y = -2x - 4
  7. y = 3x - 1
  8. y = -5x + 3
  9. y = 9x
  10. y = 7x - 1
  11. y = 10x - 6
  12. y = 9x + 6
  13. y = 4x - 7
  14. y = 3x - 5
  15. y = 6x + 1
  16. y = 5x + 1
  17. y = -8x + 6
  18. y = 2x + 3
  19. y = -6x - 7
  20. y = -10x + 3