Take a position. In order for a persuasive paper to convince anyone, its author must be confident in his position.
Write a short opening paragraph that addresses the original commenter and states your thesis on the issue.
Address each of the original commenter's points, one paragraph at a time. Each paragraph should refute aspects of the original person's argument, using solid evidence and concrete examples as persuasive material. Cite authoritative sources of this information where those sources apply.
Include examples of why your arguments are correct and the other person's arguments are incorrect in these paragraphs. This way, you avoid simply saying that you are right; instead, you can specifically state why your counterpart's arguments are wrong.
Read your persuasive paper out loud. Make sure that it reads like a speech and that the transitions between sections are smooth.
Use definitive language. In order to sound more persuasive, avoid using words such as "may," "might" or "probably." Using such weak and unsure language suggests doubts in your convictions.
Check your work for spelling and grammar before you submit it. If there are spelling and grammar errors in your work, you will be less likely to be taken seriously.