Persuasive writing is a style of writing in which the writer tries to get people round to his way of thinking in order to achieve something.
For example, a politician who is all for bringing back the death penalty may write an article that tries to persuade people to vote in favour of this.
Another place where persuasive writing is used is in the writing of slogans: these are short catchy phrases used to persuade people to act in a particular way, e.g. 7-Up's "Bring on the real Thirst-Quencher!"
In this 11-plus English quiz, you'll get some practice with slogans.
"Just do it!"