difference between point to and point at

point to/ at - (руу заах,  хуруугаараа чиглүүлэн заах юмруу)

show with finger

1 [intransitive, transitive, no passive] to stretch out your finger or something held in your hand toward someone or something in order to show someone where a person or thing ispoint (at/to/toward someone/something)“What's your name?” he asked, pointing at the child with his pen.“That's my mother,” she said, pointing at a photo on the wall.He pointed to the spot where the house used to stand.

point somethingShe pointed her finger in my direction.

aim

2 [transitive]point something (at someone/something)to aim something at someone or somethingHe pointed the gun at her head.

Thread: to point to / point at

• I would say "pointing at their graves" as well. However, colloquially english speakers use both "to" and "at" in this expression. Usually, people say "pointing towards" rather than "pointing to" in any case. All of these are correct, its just a matter of style. Hope this helps!

• Hmm, it's hard to explain, but let me give it a try.
  
  When you point to something, you are pointing in its direction or showing the way to it or identifying it.
  
  When you point at something, you are just directly indicating it.
  
  It's subtle and I don't think there's always a clear distinction between them -- it's more like there's a continuum with some overlap.
  
  In the context you've given, if he had pointed at their graves, it would have sounded to me like they were buried pretty close to him. Since he pointed to their graves, it sounds like he's identifying where they're buried from a little more of a distance.

• I am a native English speaker and I personally think that it sounds much better and more natural to say "at" in these sentences. "To" is also completely correct but I almost always say "point at". The sentences you wrote are all correct. You speak English very well!

• the two phrasal verbs are often interchangeable.

• Your thread title is confusing:
  
  Point at = physically indicating a direction with an arm, hand and finger. Children are often told it is rude to point at a person.
  
  Point out = to explain, to make an observation. He wanted to go shopping, but I pointed out that it was Sunday and the shops were closed.
  
  Point to = to indicate in a vague way, to suggest. He lived in Paris, which pointed to a frivolous lifestyle. (Not a very good example