You need to define that constant in MainActivity as 
 public static final String EXTRA_MESSAGE = "extra_message";
so that in DisplayMessageActivity you can access that static constant as 
String message = intent.getStringExtra(MainActivity.EXTRA_MESSAGE);
MainActivity
public class MainActivity extends AppCompatActivity {
    public static final String EXTRA_MESSAGE = "extra_message";
    // static : accessed by class name
    // final : value cannot be changed  
    /** Called when the user taps the Send button */
    public void sendMessage(View view) {
        // Do something in response to button
        Intent intent = new Intent(this, DisplayMessageActivity.class);
        EditText editText = (EditText) findViewById(R.id.editText);
        String message = editText.getText().toString();
        intent.putExtra(EXTRA_MESSAGE, message);
        startActivity(intent);
    }
}
DisplayMessageActivity
public class DisplayMessageActivity extends AppCompatActivity {
    @Override
    protected void onCreate(Bundle savedInstanceState) {
        //..code    
        String message = getIntent().getStringExtra(MainActivity.EXTRA_MESSAGE);
        //..code    
    }
}
2
solved Activity not reading intent from other class in Android SDK