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.