Respuesta :

For any horizontal line in the coordinate system, the equation is:

[tex]y=b[/tex]

Where b represents the value of said line.

This means that regardless the value of x, y will be constant, i.e. it will have the same value.

If we start with the equation for any line in slope intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

And replace the slope with zero

[tex]\begin{gathered} y=0x+b \\ y=b \end{gathered}[/tex]

We can determine the equation for the horizontal line.