I have recently bought a home in which there is a wall at right at the entrance of the foyer. Is there any way to tell if it is a load-bearing wall? I just want to get rid of it.
I'd say it's almost certainly load bearing for one simple reason.
You've got what appears to be a beam running over the opening from the dining room to the hallway, and you don't have one going into the kitchen.
The fact that your dining/hall opening isn't floor to ceiling suggests strongly that the beam is running across that opening, which means it's running the depth of the house.