simplify the given equation and graph xy-x+y=0

Question

(it is on rotation of axes. please answer in order for me to have a guide in my studies tonight)

Answer 1

factor it

y(x+1) = x
y = x/(x+1)

a rotated hyperbola , with asymptote at x = -1

http://www.wolframalpha.com/input/?i=plot+y+%3D+x%2F(x%2B1)

Answer 2

Can you expalain a litte specific sir? I really cant get it T.T please.

Answer 3

cot2θ = 0 so θ=45°

Then just do the rotation matrix stuff to find the equation in the new coordinates.

Answer 4

Thanks Sir! :)