Anegotiation in which both sides gain something and lose something is known as

What is the meaning of the word checking as it is used in this sentence from the second paragraph of the passage?

Ineed ideas for this essay something easy that i can do does anyone have any ideas on what i should write on for this 100 points ! write a procedural essay with media that is 1 ½–2 pages in length. clearly state your topic, and include all steps necessary to complete the procedure. you will submit your prewriting and planning documents along with your essay.

How does the reputation of the author convey authority? from ''city upon a hill''