# Write an equation of a line parallel to y=3 passing through P(-2,4)

Jairo Hodges 2022-11-21 Answered
Write an equation of a line parallel to y=3 passing through P(-2,4)
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## Answers (1)

Laura Fletcher
Answered 2022-11-22 Author has 22 answers
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:
$y-{y}_{0}=m\left(x-{x}_{0}\right)$
you get:
y−4=0(x+2)
y=4
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