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Equation of a Straight Line (Year 10)

Free printable UK Year 10 (GCSE Foundation) maths worksheet: find the equation of a straight line (y = mx + c) from a gradient and a point, or from two points.

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Grade 9 · Math worksheet
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Equation of a Straight Line

Find the equation of each straight line in the form y = mx + c, either from a gradient and one point, or from two points.

  1. 1.
    Find the equation of the straight line with gradient -2 that passes through the point (8, -12). Give your answer in the form y = mx + c.
  2. 2.
    Find the equation of the straight line with gradient -6 that passes through the point (0, -12). Give your answer in the form y = mx + c.
  3. 3.
    Find the equation of the straight line with gradient -6 that passes through the point (5, 12). Give your answer in the form y = mx + c.
  4. 4.
    Find the equation of the straight line with gradient 5 that passes through the point (0, 5). Give your answer in the form y = mx + c.
  5. 5.
    Find the equation of the straight line with gradient -1 that passes through the point (1, 3). Give your answer in the form y = mx + c.
  6. 6.
    Find the equation of the straight line with gradient -1 that passes through the point (-3, -8). Give your answer in the form y = mx + c.
  7. 7.
    Find the equation of the straight line that passes through (-3, 1) and (-6, -2). Give your answer in the form y = mx + c.
  8. 8.
    Find the equation of the straight line that passes through (-6, -28) and (-9, -37). Give your answer in the form y = mx + c.
  9. 9.
    Find the equation of the straight line that passes through (-2, 1) and (-5, 4). Give your answer in the form y = mx + c.
  10. 10.
    Find the equation of the straight line that passes through (-1, 7) and (-6, 22). Give your answer in the form y = mx + c.
  11. 11.
    Find the equation of the straight line that passes through (-3, -16) and (-5, -22). Give your answer in the form y = mx + c.
  12. 12.
    Find the equation of the straight line that passes through (-2, 8) and (1, -1). Give your answer in the form y = mx + c.
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