U.S. home-price growth accelerated in June, with a 1.5% year-over-year increase and 0.4% month-over-month rise. The Northeast and Midwest showed strength, while the Sunbelt and West softened. Inflation slowed to 3.5%, easing the real-term decline in home prices. Miami saw a 2.27% annual and 0.31% monthly price increase. Overall, the housing market shows slow but positive progress.