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

Jairo Hodges

Jairo Hodges

Answered question

2022-11-21

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

Answer & Explanation

Laura Fletcher

Laura Fletcher

Beginner2022-11-22Added 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 ( x - x 0 )
you get:
y−4=0(x+2)
y=4

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