And Thy House

I was reading in Genesis last evening and I read of how Noah is referred to as being "a just man and perfect in his generations, and Noah walked with God." (Gen 6:9) I read of how Noah found grace in the eyes of the LORD. This grace that God shed upon Noah was that, not only would Noah be saved from the flood, but his family as well.

Was this an of grace toward Noah for Noah's sake because he was "just" and walked with God? Would the family had been saved if Noah was not "just" in the eyes of the LORD?

Acts 11:13 And he shewed us how he had seen an angel in his house, which stood and said unto him, Send men to Joppa, and call for Simon, whose surname is Peter;
14 Who shall tell thee words, whereby thou and all thy house shall be saved.

And:

Acts 16:30 And brought them out, and said, Sirs, what must I do to be saved?
31 And they said, Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house.
32 And they spake unto him the word of the Lord, and to all that were in his house.

My question is, is there a connection here? Was there ever, or is there now, the belief that salvation is given to a man and his family as a (for lack of a better word as I'm typing) unit? What are the implications of the passages I've noted? I am just beginning to think on this and would like some imput from differing views.

Thanks!

 

Thanks for your reply, Singer.

I understand that in the same account with the jailor that the word was preached both to him and his house and that they believed, but I still wonder why the scripture says "thou shalt be saved and thy house." It's as if there are some other implications here and I am wondering what others think.