There is an ongoing need for indicators that balance social and environmental sustainability outcomes. The carbon intensity of well-being (CIWB) is a sustainability indicator that captures environmental impact and social well-being in a single measure. One of the benefits of this measure is that it can be applied across different scales and contexts to explore factors that might reduce the CIWB, leading to greater sustainability. We demonstrate the further utility of the indicator by analyzing CIWB in the United States at the state-level and take an intersectional approach, calculating CIWB by race and gender. We find income inequality contributes to larger CIWB for all groups, but the impacts are greater for blacks compared to whites and males compared to females. Economic growth is also associated with larger CIWB for all groups. These results suggest that to achieve more sustainable outcomes may require policies that address inequalities as well as broader changes to economies.