Intersecting the y axis means x is o, so you plug x=0 in the equation and solve for y. if y has real solutions, then the answer is yes. Let's find out: 0+y^2-6y=-9 y^2-6y+9=0 (y-3)(y-3)=0 y=3 3 is a real number, so yes, the equation intersects the y axis at (0,3)