[de Buillion]

"Yes, that's right, you *can* legally walk down a Texas city street with a slung rifle that is loaded,"

Is the rifle/shotgun required to be slung?

[Spktyr]

No, you may also carry it in a case, or in any other non-threatening manner that you so choose - you are still not allowed to brandish a firearm.

So long as you are carrying it in a peaceable fashion, it is legal.