What is the equation of a line with a gradient of 2 and passes through (1,4)?

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Answer:

#y = 2x + 2 #

Explanation:

The slope-intercept equation of a line :

#y = mx + c#

Here

  • #m =# slope
  • #c = y#-intercept

Therefore, the required equation is:

#y = 2x + c#

Putting the point #(1,4)# in it as it lies on line, we get:

#4 = 2 + c #

Therefore

#c = 2#

So

#y = 2x + 2#

is the required equation.

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