Revelle Humanities Grammar Handbook
6 Sentence fragments
7 Run-on sentences
8 Verb agreement
13 Passive voice
15 ESL
17 Misplaced modifiers
18 Pronoun reference
20a Comparisons
21 Parallel construction
23 Commas
23d Sexist language
25/6 Semicolons & colons
29 Ellipsis
31 Brackets
35 Apostrophes
36 Abbreviations
37 Underlining
39 Numbers
41b Slang
41e Jargon
41f Pretentious language
42c Idioms
42e Clichés
43a Fluff

41b Slang
Like jargon, slang is the specialized vocabulary of any cultural or linguistic subgroup which by definition will be unfamiliar to the general reader. Slang also tends to lack a seriousness in tone, which might undermine your argument. And as with jargon, you should use the language of the general reader.

Slang: Chilling with the Phaiakians, Odysseus blew away his hosts with his studly athleticism.

Revised sample: Recuperating with the Phaiakians, Odysseus impressed his hosts with his athletic prowess.