Actually, #y=2# doesn't have an #x#-intercept. This is because the line #y=2# is a horizontal line that is parallel to the horizontal #x#-axis, and parallel lines never intersect. Also, the line #y=2# doesn't depend on any #x#. No matter what #x# is, no matter how infinitely large or small, #y# will always be #2# above the #x#-axis.
To see this visually, this is what the graph of #y=2# looks like:
You can see that the line doesn't ever touch the #x#-axis, meaning it doesn't have an #x#-intercept. It has a #y# intercept though, at the point (0,2).
