### Theory:

Consider drawing a line parallel to $$x$$ - axis, which is at a distance of $$b$$ units. Then, the $$y$$ coordinate of every point on the straight line will be "$$b$$".

Hence, the general equation of the line parallel to $$x$$ - axis is $$y = b$$.
Example:
Consider plotting the points $$(-3,4)$$, $$(-2,4)$$, $$(-1,4)$$, $$(0,4)$$, $$(1,4)$$, $$(2,4)$$, $$(3,4)$$.

Now, draw a line joining these points. The line is at a distance of $$4$$ units from the $$x$$ - axis. Here, $$b = 4$$.

Therefore, the equation of the line parallel to the $$x$$ axis is $$y = 4$$.
Important!
1. If $$b > 0$$, then the line $$y = b$$ lies above the $$x$$ - axis.

2. If $$b < 0$$, then the line $$y = b$$ lies below the $$x$$ - axis.

3. If $$b = 0$$, then the line $$y = b$$ lies on the $$x$$ - axis.