What does the Bible say about salvation and family lineage?

In Romans 9, Paul addresses the misconception among the Jews that all physical descendants of Abraham are guaranteed salvation. He states, 'Not as though the word of God had taken none effect, for they are not all Israel, which are of Israel' (Romans 9:6). Paul emphasizes that being part of Abraham's lineage does not secure one's place in God's covenant or promise. Instead, it is the children of the promise who are counted as heirs, not merely the children of the flesh. This distinction highlights that grace cannot be passed down through familial ties; it is a sovereign work of God that elects individuals regardless of their ancestry.