What was the importance of new york during the revolutionary war?

The importance of New York in the revolution is that new york was one of the colonies' heart of industry

In the fall of 1777, the Americans accomplished such a huge and important victory over the British in upstate New York at the Battle of Saratoga, that British General John Burgoyne's surrender caused a turning point of the war due to it winning French aid and because it kept the colonies strategically aligned.
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Where’s the diagrams?

The answer is option e.