This link have tutorial to draw route path on map in our app. this may help you and
use below to link with map app... this will take to you in google map application
String uri = "http://maps.google.com/maps?f=d&hl=en&saddr="+source_latitude+","+source_longitude+"&daddr="+destination_latitude+","+destination_longitude;
Intent intent = new Intent(android.content.Intent.ACTION_VIEW, Uri.parse(uri));
intent.setClassName("com.google.android.apps.maps", "com.google.android.maps.MapsActivity");
startActivity(intent);