When “low-income” starts at 100k, though, 40k might feel very close to nothing.
Looking online, median rent in the US for all housing types is over 2k.
Edit: To give an idea. According to Google, in New York at $40k a year you will pay $12,000 in taxes. So after taxes and $1600 a month in rent you would only have about $733 a month for transportation, food, entertainment, clothes, savings, etc.
That means your $1600/mo rent landlord will not accept applicants making under $64k.