Respuesta :

Answer:

B

Step-by-step explanation:

y = 4 is a horizontal line parallel to the x- axis

A parallel line must also be horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

The only equation in this form is

y = 0 ( the equation of the x- axis ) → B

Option B: [tex]y=0[/tex] is the equation of the line parallel to the line [tex]y=4[/tex]

The general equation of a line is [tex]y=mx+b[/tex] where, [tex]'m'[/tex] is the slope of the line and [tex]'b'[/tex] is the constant.

For a line to be parallel with the line [tex]y=4[/tex], the slope must be equals to [tex]0[/tex].

So, [tex]y=0[/tex] is the only option in which the slope is equals to zero and so, it is parallel to the line [tex]y=4[/tex].

Learn more about parallel lines here:

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