Eastpointe is a city in Macomb County in the U.S. state of Michigan. An inner-ring suburb of Detroit, Eastpointe borders Detroit to the north, r…Eastpointe is a city in Macomb County in the U.S. state of Michigan. An inner-ring suburb of Detroit, Eastpointe borders Detroit to the north, roughly 11 miles northeast of Downtown Detroit. As of the 2020 census, the city had a population of 34,318.