"And you, being dead in your sins and the uncircumcision of your flesh, hath he quickened together with him, having forgiven you all trespasses;" (Colossians 2: 13)
We are not granted eternal life apart from Christ Jesus.
Paul was very clear in the above passage - God has quickened us, brought us to life, with His Son.
Jesus explained this new relationship we have with Him just before His death on the Cross:
"I am the vine, ye are the branches: He that abideth in me, and I in him, the same bringeth forth much fruit: for without me ye can do nothing." (John 15: 5)
We are nothing apart from Him. There is nothing that we can do because He is our life:
"The thief cometh not, but for to steal, and to kill, and to destroy: I am come that they might have life, and that they might have it more abundantly." (John 10: 10)
"The thief cometh not, but for to steal, and to kill, and to destroy: I am come that they might have life, and that they might have it more abundantly." (John 14: 6)
In Colossians, Paul could not have explained it more clearly:
"1If ye then be risen with Christ, seek those things which are above, where Christ sitteth on the right hand of God. 2Set your affection on things above, not on things on the earth. 3For ye are dead, and your life is hid with Christ in God. 4When Christ, who is our life, shall appear, then shall ye also appear with him in glory." (Colossians 3: 1-4)
and he explained to the Galatians:
"20I am crucified with Christ: nevertheless I live; yet not I, but Christ liveth in me: and the life which I now live in the flesh I live by the faith of the Son of God, who loved me, and gave himself for me. 21I do not frustrate the grace of God: for if righteousness come by the law, then Christ is dead in vain." (Galatians 2: 20-21)
Because we know that all ours sins have been put away, He can live in us and through us. In this way, we are brought from death to life:
"Neither yield ye your members as instruments of unrighteousness unto sin: but yield yourselves unto God, as those that are alive from the dead, and your members as instruments of righteousness unto God." (Romans 6: 13)