Easiest solution:
If the mouse is at Mx,My and the ship is at Sx,Sy then calculate the direction from the ship to the mouse:
Dx=Sx-Mx
Dy=Sy-My
Now normalise D (this means scale it so that it's length is one):
DLen=sqrt(Dx*Dx + Dy*Dy)
Dx/=DLen;
Dy/=DLen;
Now Dx is the distance you want to move the bullet on the x axis in order to get bullet speed of 1.
Thus each frame you move the bullet like so (position of bullet: Bx,By Speed of bullet: Bs [in pixels per millisec] Frame time Ft[in millisec])
Bx=Bx+Dx*Bs*Ft
By=By+Dy*Bs*Ft
This give you a bullet that moves towards the mouse position at a speed independent of the direction of the mouse or framerate of the game.
EDIT: As @MSalters says you need to check for the DLen==0 case when the mouse is directly above the ship to avoid division by zero errors on the normalise