Well I figured out that one, id show what I came up with but I dont have the slightest clue how to show a graph like that on the computer.

New problem now: 2x² - 3xy - 2y² + 10 = 0

a = 2, b = 3, c = -2

plugging it in, tan2θ = -3/(2 -(-2)) -3/4

using the reference angle from tan-¹ 3/4 I get 2θ = 143.2 so the angle of rotation would be 71.6°

Plugging that into the other forumlas im gonna get a big mess of decimals....

Wonder if there is any way to keep it rationalized????