text: 1) y^2+2xy+4=0\n\n2) 2y(dy/dx)+2y+2x(dy/dx)=0\n\n3) (dy/dx)(2y+2x)=(-2y)\n\n4) dy/dx=(-2y)/(2y+2x)\n\n5) when you plug in (-2,2) :   dy/dx = -4/0\n\n6) thus slope is equal to infinity or does not exist