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

Answer 1

Julia Adams

#y = 2x + 2 #

The slope-intercept equation of a line :

#y = mx + c#

Here

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#

#y = 2x + 2#

is the required equation.

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Answer 2

Jace Anderson

The equation of the line with a gradient of 2 that passes through the point (1,4) is ( y = 2x + 2 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.