Parametric equation.. life application tricky...

I am having some difficulty understanding this question i would appreciate all the help i can get solving it.

a track on a hill side leading to a house, is in the shape of a smooth curve given parametrically by $\displaystyle x=(3-2t)^2$ $\displaystyle y=(t^3-2t)$

a copy of the hillside is placed in the x-y plane so that a post (P) on the northern end of the track is located at the point where t=2. the hill also follows the equation $\displaystyle x^2+4y^2-4x-12y-12=0$ find

1) the slope of the track at point (P) where the post is located.

2) the equation that can be used to represent the straigh line from the point P to the origin on the x-y plane

3)An expression for the steepness of the hill..

i have though about this but not sure what angle to take this from.. i would really appreciate any help i can get.