Majorities of Massachusetts residents believe state leaders need to do more to tackle housing challenges in the state, but majorities also support rent control and the "right to shelter" law that has pushed the state's shelter system to the brink in recent months. The UMass Amherst/WCVB Poll found that 44% of respondents strongly support and 27% somewhat support allowing local governments to set limits on annual rent increases.Poll: Crosstabs | ToplinesThe poll is based on answers from 700 individuals polled between Oct. 13 and 20. The margin of error is 5.1%.Boston Mayor Michelle Wu has pushed for rent control measures in the city, but any plan requires approval from both the city council and state legislature. The "right to shelter" law was strongly supported by 41% of respondents, and 22% said they somewhat support the law.Massachusetts is legally required to house homeless families, including migrants who are legally present in the state, due to the "right to shelter" law. In recent months, the state has rented numerous hotels and motels to serve as housing for the rapidly growing number of families.Last week, Gov. Maura Healey said the state's emergency shelter system is "on the verge of reaching capacity," and her administration is implementing capacity limits while demanding more support from the federal government.The poll also asked respondents about their own economic situation and found that sentiments held relatively steady from the previous poll in April. Eleven percent said their economic situation was excellent, and 36% said it was good. When asked about the state of Massachusetts' economy, 8% said it was excellent, and 47% said it was good.Only 4% of those polled said the national economy was excellent, and 32% described it as good.