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Equation of a Straight Line (Year 11)

Free printable UK Year 11 (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 10 · 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 -4 that passes through the point (2, -5). Give your answer in the form y = mx + c.
  2. 2.
    Find the equation of the straight line with gradient -2 that passes through the point (6, 6). Give your answer in the form y = mx + c.
  3. 3.
    Find the equation of the straight line with gradient 2 that passes through the point (-3, 2). Give your answer in the form y = mx + c.
  4. 4.
    Find the equation of the straight line with gradient 3 that passes through the point (2, 15). 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 (-3, 15). 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 (2, -1). Give your answer in the form y = mx + c.
  7. 7.
    Find the equation of the straight line that passes through (-3, -14) and (2, 6). Give your answer in the form y = mx + c.
  8. 8.
    Find the equation of the straight line that passes through (-3, -3) and (-4, -5). Give your answer in the form y = mx + c.
  9. 9.
    Find the equation of the straight line that passes through (5, -23) and (10, -53). Give your answer in the form y = mx + c.
  10. 10.
    Find the equation of the straight line that passes through (-1, 11) and (4, 1). Give your answer in the form y = mx + c.
  11. 11.
    Find the equation of the straight line that passes through (5, 31) and (8, 46). Give your answer in the form y = mx + c.
  12. 12.
    Find the equation of the straight line that passes through (0, 0) and (-3, -6). Give your answer in the form y = mx + c.
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