Domain authority and page authority are metrics developed by Moz that aim to predict a website is ranking potential in search engine results pages. Domain authority is a score that predicts how well a website will rank on search engine result pages, while page authority predicts the ranking potential of a specific page. These metrics are calculated based on various factors, such as the quality and quantity of backlinks pointing to the website or page, the content relevance, and the website is overall trustworthiness.