When one has a configuration where the client code is served by Apache, and the backend is provided as a server running on a different port, maintaining a nice URL scheme might seem like a challenge.

The ideal solution is to present /api as an endpoint whose requests will be forwarded to the API server.

First, find and uncomment the following lines on /etc/httpd/conf/httpd.conf

# LoadModule proxy_module modules/mod_proxy.so
# LoadModule proxy_http_module modules/mod_proxy_http.so
# Include conf/extra/httpd-vhosts.conf

Then, add the following virtual host to /etc/httpd/conf/extra/httpd-vhosts.conf.

<VirtualHost *:80>
  ProxyPreserveHost On
  ProxyRequests Off
  ServerName dummy-host.example.com
  ServerAlias www.dummy-host.example.com
  ProxyPass /api/ http://localhost:5000/
  ProxyPassReverse /api/ http://localhost:5000/

The port number in the example above is 5000. Change it and the server name and alias to suit your needs.