Is this right? Graphing an Equation

I have a fairly good concept of how to solve for y, at least I think I do.

I have this equation and I would like to know if I solved it correctly.

Thank you for any help, I have rarely seen the y like this.

y-3x= -2 and 6x-2y= 4

I am supposed to graph these and then determine if they are parallel, intersect, or if they are the same line.

I have this:

y=3x-2 and y= -3x-2

I have determined that they do intersect, and meet at the point (0,-2)

Is this right?

Thanks,

Anna