The declaration by God that He would make a nation of the son of the slave woman meant that He
Answer Details
The declaration by God that He would make a nation of the son of the slave woman, Hagar, meant that He recognized Ishmael as Abraham's descendant.
According to the Bible, Abraham had two sons, Ishmael born to Hagar the slave woman, and Isaac born to Sarah, Abraham's wife. When Ishmael was sent out of Abraham's house along with his mother, Hagar, they wandered in the wilderness until God spoke to Hagar and promised to make her son, Ishmael, a great nation.
This declaration by God meant that He recognized Ishmael as Abraham's son and would bless him and make him a great nation, just as He had promised to bless Isaac, Abraham's son through Sarah. It showed that God was not partial towards Isaac and Ishmael, but had a plan for each of them.
Therefore, the declaration by God that He would make a nation of the son of the slave woman, Hagar, meant that He recognized Ishmael as Abraham's descendant and had a plan for his life and the life of his descendants.