given

dx/dt = (-1/2 3/2 ) (x)

dy/dt (3/2 -1/2 ) (y)

first told to sketch vectors on line y = 0

-1/2x + 3/2y -1/2x

3/2 x -1/2y = 3/2x

How can I tell slope and direction of vectors from this?

Here is the link with this problem on it (example 2)

http://www.math.umass.edu/~norman/331_10/Notes/m331lastnotes.pdf