According to trees on Ancestry.com... He connects to the Great Migration immigrant Thomas Hine like this:
Thomas Hine (1621-1698) m. Elizabeth Lane
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John Hine (1655-1739) m. Mary Finn
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John Hine (1686- 1777) m. Mehitable Waters
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Isaac Hine (1730-1809) m. Ann Bristol
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Isaac Hine (1765-1825) m. Rhoda Wright
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Lewis Hine (1792-1854) m. Sarah Nancy Hull
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Douglas Hull Hine (1829-1892) m. Sarah Hayes
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Lewis Wickes Hine (1874-1940)
The ancestry.com trees appear reasonably well-researched with sources and are internally consistent. Obviously, an online tree like this should not be considered proof of each generation, but hopefully this provides enough clues for you to find the primary sources to prove the line.