1. and 2. is the same question, so the answer to both is <u>direct variation</u>
3. <u>Direct</u> <u>variation</u>
4. <u>Inverse</u> <u>variation</u>
5. I believe it is <u>Inverse</u>, but I'm not 100% certain
So remember that the distance formula is
.
1.

Distance between (4,-5) and (4,-2) is 3 units.
2.

Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.
I don't know how many paragraphs your professor needs you to develop, but if your essay consists on just 3 paragraphs (introduction, body and conclusion) your thesis is OK.
Now, if your essay needs to have, lets say 4 or 5 paragraphs (introduction, body 1, body 2, body 3, and conclusion) I'd recommend you to add two more details to your essay. For example,
Schizophrenia is a severe mental illness that deeply affects not only the patient's daily life, but also his family and friends.
paragraph 1 is to develop how schizophrenia affects the patient daily life only. Paragraph 2 is to develop how schizophrenia affects the patient's family and paragraph 3 to develop how it affects his or her family.
Don't forget to put examples, professors love when you put examples.
Good luck, and if you need help, you can ask me.