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The free black population in New York City tripled in the 1790s, then doubled in the 1800-1810 period. But the total numbers of slaves also increased until 1800, then it began to fall sharply.
Free people represented 33% of the black population in 1790, 56% in 1800, 84% in 1810. (In the surrounding counties, emancipation came more slowly, from 18% to 32% to 56%.)
While the numbers of blacks grew, the white population was increasing more rapidly. Blacks constituted about 10% of the total populace, half what it had been in colonial times.
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