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Write the equation of a line from the slope and a point

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

Put the slope in for m, then use the point to find b.

  1. A line has slope −4 and passes through (−3, 10). Write its equation in the form y = mx + b.
  2. A line has slope −5 and passes through (1, 10). Write its equation in the form y = mx + b.
  3. A line has slope 4 and passes through (1, 9). Write its equation in the form y = mx + b.
  4. A line has slope 6 and passes through (−4, 5). Write its equation in the form y = mx + b.
  5. A line has slope −8 and passes through (8, −13). Write its equation in the form y = mx + b.
  6. A line has slope −5 and passes through (2, −13). Write its equation in the form y = mx + b.
  7. A line has slope 8 and passes through (−2, −13). Write its equation in the form y = mx + b.
  8. A line has slope 3 and passes through (−4, −15). Write its equation in the form y = mx + b.
  9. A line has slope 6 and passes through (8, −10). Write its equation in the form y = mx + b.
  10. A line has slope 10 and passes through (0, 4). Write its equation in the form y = mx + b.
  11. A line has slope 8 and passes through (3, 10). Write its equation in the form y = mx + b.
  12. A line has slope −10 and passes through (−5, −2). Write its equation in the form y = mx + b.
  13. A line has slope −4 and passes through (−12, −3). Write its equation in the form y = mx + b.
  14. A line has slope −5 and passes through (−10, −2). Write its equation in the form y = mx + b.
  15. A line has slope −4 and passes through (−8, −18). Write its equation in the form y = mx + b.
  16. A line has slope −11 and passes through (−8, 2). Write its equation in the form y = mx + b.
  17. A line has slope 14 and passes through (−12, 0). Write its equation in the form y = mx + b.
  18. A line has slope −12 and passes through (3, −26). Write its equation in the form y = mx + b.
  19. A line has slope −15 and passes through (13, −1). Write its equation in the form y = mx + b.
  20. A line has slope −8 and passes through (−7, 16). Write its equation in the form y = mx + b.
More free practice: fieldbooklearning.com/uk/practice/year-9/write-the-equation-of-a-line-from-the-slope-and-a-point/

Answer key: Write the equation of a line from the slope and a point

  1. y = -4x - 2
  2. y = -5x + 15
  3. y = 4x + 5
  4. y = 6x + 29
  5. y = -8x + 51
  6. y = -5x - 3
  7. y = 8x + 3
  8. y = 3x - 3
  9. y = 6x - 58
  10. y = 10x + 4
  11. y = 8x - 14
  12. y = -10x - 52
  13. y = -4x - 51
  14. y = -5x - 52
  15. y = -4x - 50
  16. y = -11x - 86
  17. y = 14x + 168
  18. y = -12x + 10
  19. y = -15x + 194
  20. y = -8x - 40