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Write the equation of a line from its intercepts

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

The y-intercept is where the line crosses the y-axis. Find the slope from the two intercepts.

  1. A line crosses the x-axis at (2, 0) and the y-axis at (0, −12). Write its equation in the form y = mx + b.
  2. A line crosses the x-axis at (−5, 0) and the y-axis at (0, −30). Write its equation in the form y = mx + b.
  3. A line crosses the x-axis at (−2, 0) and the y-axis at (0, 4). Write its equation in the form y = mx + b.
  4. A line crosses the x-axis at (2, 0) and the y-axis at (0, 4). Write its equation in the form y = mx + b.
  5. A line crosses the x-axis at (−5, 0) and the y-axis at (0, −20). Write its equation in the form y = mx + b.
  6. A line crosses the x-axis at (1, 0) and the y-axis at (0, 7). Write its equation in the form y = mx + b.
  7. A line crosses the x-axis at (3, 0) and the y-axis at (0, −12). Write its equation in the form y = mx + b.
  8. A line crosses the x-axis at (4, 0) and the y-axis at (0, −20). Write its equation in the form y = mx + b.
  9. A line crosses the x-axis at (7, 0) and the y-axis at (0, −35). Write its equation in the form y = mx + b.
  10. A line crosses the x-axis at (6, 0) and the y-axis at (0, −30). Write its equation in the form y = mx + b.
  11. A line crosses the x-axis at (4, 0) and the y-axis at (0, 12). Write its equation in the form y = mx + b.
  12. A line crosses the x-axis at (−1, 0) and the y-axis at (0, −9). Write its equation in the form y = mx + b.
  13. A line crosses the x-axis at (−3, 0) and the y-axis at (0, 24). Write its equation in the form y = mx + b.
  14. A line crosses the x-axis at (5, 0) and the y-axis at (0, −35). Write its equation in the form y = mx + b.
  15. A line crosses the x-axis at (8, 0) and the y-axis at (0, 40). Write its equation in the form y = mx + b.
  16. A line crosses the x-axis at (−5, 0) and the y-axis at (0, −35). Write its equation in the form y = mx + b.
  17. A line crosses the x-axis at (−4, 0) and the y-axis at (0, −8). Write its equation in the form y = mx + b.
  18. A line crosses the x-axis at (−11, 0) and the y-axis at (0, 22). Write its equation in the form y = mx + b.
  19. A line crosses the x-axis at (5, 0) and the y-axis at (0, −30). Write its equation in the form y = mx + b.
  20. A line crosses the x-axis at (6, 0) and the y-axis at (0, −18). 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-its-intercepts/

Answer key: Write the equation of a line from its intercepts

  1. y = 6x - 12
  2. y = -6x - 30
  3. y = 2x + 4
  4. y = -2x + 4
  5. y = -4x - 20
  6. y = -7x + 7
  7. y = 4x - 12
  8. y = 5x - 20
  9. y = 5x - 35
  10. y = 5x - 30
  11. y = -3x + 12
  12. y = -9x - 9
  13. y = 8x + 24
  14. y = 7x - 35
  15. y = -5x + 40
  16. y = -7x - 35
  17. y = -2x - 8
  18. y = 2x + 22
  19. y = 6x - 30
  20. y = 3x - 18