Posts in 2 categories should not be featured in the Home page.

Hello everybody! I have 5 categories totally. Out of that, 2 categories under which posts will be added/amended but it should not be displayed in my home page's recent "articles from the blog" section. I want to hide it in the home page, however, my users should access the articles from those 2 categories under a page. I will take care of the page. All I want is, the recent articles section should not pull the recent articles from that 2 categories which are least important for my majority of users, yet it is needed for few users..
Please let me know how to change certain part of code..