Carry is a synonym of Behave. Behave is a synonym of Conduct. Conduct is a synonym of Transmit. 
Slow is a synonym of Moderate. Moderate is similar to Limited. Limited is the opposite of Widespread. 
Carry <--Synonym--> Behave <--Synonym--> Conduct <--Synonym--> Transmit 
Slow <--Synonym--> Moderate <--SimilarTo--> Limited <--Antonym--> Widespread 