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Re-Direct After Comment Submit IF Comment Comes from Sign-Up Page

After having successfully done a custom version of the WordPress comments form into a "sign up" page, I now need to re-direct the user to a custom page upon submitting the "form".

The page is done and the slug of the page is thank-you-for-signing-up. Problem is, how do I check that the comments is coming from the sign-up page (slug: sign-up) and if so, re-direct to my custom page?

This is the code I am trying to get working:

add_filter('comment_post_redirect', 'sign_up_redirect');
function sign_up_redirect( $location ) {

        $signup_redirect = wp_redirect( home_url('/thank-you-for-signing-up/') );

    if ( is_page( 'sign-up' ) ) {

    return $signup_redirect;

    exit;

        }
}