Edit: Note to future readers. The OP edited their question with the corrected syntax after answers were posted and this answer was based on their original post: 
and added:
"So the issue was that SELinux was blocking remote connections from PHP scripts executed by Apache web server. The setsebool -P httpd_can_network_connect=1 in the terminal did the trick."
Firstly, you didn't select a database. 
and if (!db) needs to be changed to if (!conn) and if ($db->connect_error) to if ($conn->connect_error). The same variable needs to be used throughout your code.
You're also using the wrong variable $db it's $conn (or whatever you want to use, but as I said above, you need to use the same variable for your connection and for the query. 
Error reporting http://php.net/manual/en/function.error-reporting.php would have told you about an undefined variable.
Therefore:
$conn = @mysqli_connect("host","root","pass", "your_database");
Sidenote: host I take it is only representative of the host you're using. If you're on your own PC, you would use localhost and accessing that file as http://localhost/file.php instead of file///file.php if that is what you're doing and will not work. The web browser will not parse PHP directives like that and you need to install a webserver/PHP in order for it to work, including MySQL.
Read the manual on connecting:
and remove the @ symbols while testing. They are error suppressors.
Check for errors with http://php.net/manual/en/mysqli.error.php 
Example from the manual: 
Sidenote: 127.0.0.1 or localhost or if hosted, use the setting they gave you to use.
<?php
$link = mysqli_connect("127.0.0.1", "my_user", "my_password", "my_db");
if (!$link) {
    echo "Error: Unable to connect to MySQL." . PHP_EOL;
    echo "Debugging errno: " . mysqli_connect_errno() . PHP_EOL;
    echo "Debugging error: " . mysqli_connect_error() . PHP_EOL;
    exit;
}
echo "Success: A proper connection to MySQL was made! The my_db database is great." . PHP_EOL;
echo "Host information: " . mysqli_get_host_info($link) . PHP_EOL;
mysqli_close($link);
Add error reporting to the top of your file(s) which will help find errors.
<?php 
error_reporting(E_ALL);
ini_set('display_errors', 1);
// Then the rest of your code
Sidenote: Displaying errors should only be done in staging, and never production.