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A straight line has a gradient of 4 and passes through the point (2, 11) Work out the equation of the line....

A straight line has a gradient of 4 and passes through the point (2, 11)
Work out the equation of the line.
Give your answer in the form y = mx + c

Answer

The equation of a line in the form y = mx + c is determined by the gradient (m) and a point (x, y) on the line.

  1. Given the gradient m = 4 and the point (2, 11), substitute into the equation y = mx + c:
  2. 11 = 4(2) + c
  3. 11 = 8 + c
  4. c = 11 - 8
  5. c = 3

Therefore, the equation of the line is y = 4x + 3.

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