If you want to post AS your Facebook Page, then you first need a user access token with the manage_pages permission, for a user who is an admin of that page.
Make a request to https://graph.facebook.com/me/accounts - this will return a list of the pages which you are an admin of, and an access token for each. The access_token field is only returned if you have the manage_pages permission.
Try this with the Graph Explorer here: https://developers.facebook.com/tools/explorer/?method=GET&path=me/accounts - you will need to hit 'Get Access Token' and grant the extended permission 'manage_pages'.
You now need to use the access token returned for the page you want to post as, and make a POST to https://graph.facebook.com/me/feed - in this call 'me' is the page, as you are using a page access_token.
Here are the available fields for the Post object: https://developers.facebook.com/docs/reference/api/post/