Webpage authentication may soon allow fingerprints to be used in place of signing in with a traditional alphanumeric password thanks to a new web standard set forth by W3C and the FIDO Alliance. The new standard will reportedly allow authentication to happen not just with fingerprints but also with USB keys and cameras, and they can also be used alongside passwords if users feel more secure keeping both methods in place for authenticating that it is them attempting to log into the site.
The standard is intended to increase security in an age where more security is increasingly needed, and by using biometric methods in place of passwords it would be quite a bit more difficult for someone to get a hold of your authentication details and use that to gain unauthorized access to your accounts and personal data online. Being able to use methods like a fingerprint in addition to a password only adds to that security as even if the password for a person's account were compromised, authentication for access would still require something like the fingerprint or camera as an additional login method before access would be given, which certainly works out better for the end user and everyone as it should mean better security and more peace of mind that personal and sensitive information would be safe from individuals who might seek to use that information in malicious ways.
At the moment the new support for authentication as part of this standard does not support either Google Chrome or Microsoft Edge browsers, however it is reported that it is supposed to support both of those browsers within the next few months, so that could mean sooner than a few months down the road or it could actually mean in a few months. That said, it is currently supported by Mozilla Firefox, so if you have the necessary hardware components for your PC to allow for this sort of authentication for online accounts, Firefox can be used to initiate all of it.