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How do you write an equation of a line parallel to y=3 passing through P(-2,4)?

Answer 1

#y=4#

Your line, #y=3# is a horizontal line passing through #3# (on the y axis). A line parallel to this one has to be again horizontal but this time passing through #4#, i.e. #y=4#.

A somewhat more rigorous approach would be to say that the slope #m# of #y=3# is zero so using the relationship: #y-y_0=m(x-x_0)# you get: #y-4=0(x+2)# #y=4#

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Answer 2

Ethan Adkins

To write an equation of a line parallel to y = 3 passing through point P(-2,4), the equation would be y = 4.

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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.