*Keep in mind that you can turn off Reader Comments on both a Page and a Post.
Step 1: Starting at your Dashboard, click Posts (or Page if you are making a new page).
Step 2: Click the Add New button found at the top of the page to make a new post.
Step 3: Click on Screen Options for the drop down menu to appear. Screen Options is a customizeable feature where you can reveal more functions on the post editing page.
Step 4: Once the drop down menu is shown, under Boxes make sure the checkbox for Discussion is checked.
Step 5: Scroll down until you see the Discussion box.
From there, you can disable comments for this post by unchecking both boxes for Allow comments. and Allow trackbacks and pingbacks on this page.