Also known as backlinks, inbound links are hyperlinks from a page on the web to a page on your site. Search engines use these to understand content and to gauge the importance of pages and websites.
A backlink is a link created when one website links to another. Backlinks are also called "inbound links" or "incoming links." Backlinks are important to SEO.
Backlinks are especially valuable for SEO because they represent a "vote of confidence" from one site to another.
Limits results to one link per domain for feeds, proxy sites, and some search engine results pages, such as feedburner.com, bit.ly, and ask.com.
Filter results to only show the top link by PA from each linking domain.

In essence, backlinks to your website are a signal to search engines that others vouch for your content. If many sites link to the same webpage or website, search engines can infer that content is worth linking to, and therefore also worth surfacing on a SERP. So, earning these backlinks can have a positive effect on a site's ranking position or search visibility.
-    Domain Authority (DA) - Domain Authority is a Moz proprietary metric from 1-100 which predicts how well a domain will rank in Google based on a machine learning algorithm of link metrics.

-    Page Authority (PA) - Page Authority is a Moz proprietary metric from 1-100 which predicts how well a page will rank in Google based on a machine learning algorithm of link metrics.

-    Inbound Links (backlinks) - An incoming link from a page on another website back to your own site.

-    Spam Score - Represents the percentage of sites with similar features we've found to be penalized or banned by Google. This does not mean that the site is spammy. It’s best to use this is a guide to potentially spammy sites for further investigation.

-    Anchor Text- The visible, clickable text in a hyperlink.

-    Followed Links - Links that do not have a nofollow tag, these are crawled and indexed by the search engines.

-    Nofollow Links - Links that instruct crawlers not to follow links on a particular page or specific links. A nofollow directive can be added to a page or link on a page.

-    Links via Redirect - Inbound links pointing to a URL which redirects to the site you are tracking or researching. If page X links to page Y and page Y has a redirect to page Z, the link from page X will show up as a link "via redirect" to page Z.

Source: [https://moz.com/learn/seo/backlinks]

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