The name "You Are The Branches" is straight out of the book of John chapter 15 verse 5 where jesus says "I am the vine; you are the branches. If you remain in me and I in you, you will bear much fruit; apart from me you can do nothing." (NIV) Actually we would encourage you to read that entire chapter as Jesus expands on the meaning of Him being the "true vine" and the Father being the "gardener."