FLINT, Mich. — By the sunken standards of life in Flint, Kenneth Glover is lucky.

Last month, a construction crew arrived at his house, removed the aging, corroded lead waterline leading up to it and installed a new copper pipe in its place. His house became one of fewer than 200 in Flint to have received a new pipe through a city-run program, with thousands more on the waiting list.

That matters not a whit to Mr. Glover. He still will not drink the water.

“I don’t even give it to my dog,” said Mr. Glover, who works in a General Motors plant, as he stood outside his home last week. “I don’t care how many filters they give us. I don’t care what they say. How can I trust them again?”

It has been one year since officials in Flint urged city residents not to drink the water.

Since then — as an investigation continues into the failed response at the city, state and federal levels — the authorities have pointed to progress in repairing the city’s lead-tainted water system: Water from the Flint River is no longer used in favor of the city’s former source, the Detroit system, which gets water from Lake Huron.