You need to send a DELETE request instead of a GET request. You can't do that with a link, so you have to use an AJAX request or a form.
Here is the generic form method:
If you're using Laravel 5.1 or later then you can use Laravel's built-in helpers to shorten your code:
If you're using Laravel 5.6 or later then you can use the new Blade directives to shorten your code even further:
You can read more about method spoofing in Laravel here.