Complex Transform z-plane to w-plane

Transformations from the z-plane to the w-plane in Complex Analysis. Show that the transformation w=2z/3z-2 transforms y=x/3 to a circle. We find the centre of the circle and the radius of that circle.
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[@cycklist]

If you divide that final equation by 2 on both sides, don't you get a different radius?

[@sumchief]

Thanks for watching, agreed