A Line graph shows trends over time
A persuasive speech on a school rule, or a thing you want, or for school to allow phones during lunch or something like that.
The message is understood but the sentence is not well written. You should write "Logos, that is the appeal of logic, consists of persuation backed up with actual observation, data, and facts". While the word Logos can be paraphrased as 'the appeal of logic', it is necessary to clarify the function of Logos in a text. With that purpose in mind, it is neccesary to separate the ideas of persuation from the paraphrase.
Imperative
Imperative sentences gives demands. It is indicated by an implied subject