hardeelogan hardeelogan
  • 16-03-2018
  • Mathematics
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Find the equation of the line passing through (2, 3) with gradient 3

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carlosego
carlosego carlosego
  • 25-03-2018
The first thing you should know is the gradient definition for a line.
 The gradient of a straight line tells us how much inclination it has. Therefore, the gradient of a line represents the slope of the line.
 We have then that the generic equation of the line is:
 y-yo = m (x-xo)
 Substituting the values:
 y-3 = 3 (x-2)
 Rewriting:
 y-3 = 3x-6
 y = 3x-6 + 3
 y = 3x-3
 y = 3 (x-1)
 Answer:
 
The equation of the line is:
 y = 3 (x-1)
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