In...the New Testament, and indeed in all the first two centuries of the Christian era until A.D. 200 when Tertullian mentions infant baptism for the first time in any historical document...all baptism was the baptism of believers, not infants. And the reason was that baptism was the sign of belonging to the new people of God who are constituted not by birth or ethnic identity, but by repentance and faith in Jesus Christ.
John Piper