Android : How to Draw Line between Source and Destination in Google map?

I got the correct souce and destination latitude and longitude in map but I am able to drwa line between Source and destination but this line is strait line display in map between source and destination marker. Destination Latitide and Destination Longitude are fetch successfully from Server.

But I want to Draw line between source and destination Like this below.

This is Example. Google Map is also Display CurrectPosition of Source and Destination. How can it Possible?

Please Guide me. Please Help me. Thank you.

My Code is,

public class Map extends FragmentActivity {

    GoogleMap googleMap;

    SupportMapFragment fm;
    double myLat = 23.0137759;
    double destLat = 0.0;
    double myLng = 72.5158836;
    double destLng = 0.0;

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.navigate_to_me_map);

        if (android.os.Build.VERSION.SDK_INT > 9) {
            StrictMode.ThreadPolicy policy = new StrictMode.ThreadPolicy.Builder()
                    .permitAll().build();
            StrictMode.setThreadPolicy(policy);
        }


            Intent intent = getIntent();

            destLat = intent.getDoubleExtra("latitude", 0.0);
            destLng = intent.getDoubleExtra("longitude", 0.0);

            int status = GooglePlayServicesUtil
                    .isGooglePlayServicesAvailable(getBaseContext());

            // Showing status
            if (status != ConnectionResult.SUCCESS) { // Google Play Services

                int requestCode = 10;
                Dialog dialog = GooglePlayServicesUtil.getErrorDialog(status,
                        this, requestCode);
                dialog.show();

            } else { 

                SupportMapFragment supportMapFragment = (SupportMapFragment) getSupportFragmentManager()
                        .findFragmentById(R.id.fullmap);
                googleMap = supportMapFragment.getMap();

                googleMap.setMyLocationEnabled(true);
            }


            googleMap
                    .setOnMyLocationChangeListener(new OnMyLocationChangeListener() {

                        public void onMyLocationChange(Location location) {
                            // TODO Auto-generated method stub
                            myLat = location.getLatitude();
                            myLng = location.getLongitude();
                        }
                    });

            drawRoutePath(strAddressOne);
        }
    }

    private void drawRoutePath(String searchText) {

        try {
            // find current address latlong and true than draw route
            // between to points or current loction and search
            // address


                googleMap.clear();

                if (myLat != 0 && myLng != 0) {

                    LatLng origin = new LatLng(myLat, myLng);
                    drawMarker(origin);

                    LatLng dest = new LatLng(destLat, destLng);
                    drawMarker(dest);

                    Polyline line = googleMap.addPolyline(new PolylineOptions()
                            .add(origin, dest).width(5).color(Color.RED));
                } else {
                    Toast.makeText(getApplicationContext(),
                            "Current Location does not found",
                            Toast.LENGTH_SHORT).show();

                }

            }
        } catch (Exception e) {
            // TODO: handle exception

            Log.e("Second ", "drawRoutePath errro " + e.toString());
        }

    }

    private void drawMarker(LatLng point) {
        // Creating an instance of MarkerOptions
        MarkerOptions markerOptions = new MarkerOptions();

        // Setting latitude and longitude for the marker
        markerOptions.position(point);

        // Adding marker on the Google Map

        googleMap.addMarker(new MarkerOptions().position(point).visible(true))
                .showInfoWindow();
        googleMap.animateCamera(CameraUpdateFactory.newLatLngZoom(new LatLng(
                point.latitude, point.longitude), 6f));
    }
}