How to change the default position of a ipywidget slider to the side of a matplotlib figure?

I am looking into a way to change the position of the vertical IntSlider to the right of the matplotlib fig. Here is the code:

from ipywidgets import interact, fixed, IntSlider
import numpy as np
from matplotlib import pyplot as plt

%matplotlib notebook

fig = plt.figure(figsize=(8,4))

xs = np.random.random_integers(0, 5000, 50)
ys = np.random.random_integers(0, 5000, 50)

ax = fig.add_subplot(111)
scat, = ax.plot(xs, ys, 'kx', markersize=1)
ax.grid(which='both', color='.25', lw=.1)
ax.set_aspect('equal'), ax.set_title('Rotate')

def rotate(theta, xs, ys):
    new_xs = xs * np.cos(np.deg2rad(theta)) - ys * np.sin(np.deg2rad(theta))
    new_xs -= new_xs.min()
    new_ys = xs * np.sin(np.deg2rad(theta)) + ys * np.cos(np.deg2rad(theta))
    new_ys -= new_ys.min()
    return new_xs, new_ys

def update_plot(theta, xs, ys):
    new_xs, new_ys = rotate(theta, xs, ys)
    scat.set_xdata(new_xs), scat.set_ydata(new_ys)
    ax.set_xlim(new_xs.min() - 500, new_xs.max() + 500)
    ax.set_ylim(new_ys.min() - 500, new_ys.max() + 500)

w = interact(update_plot, 
             theta=IntSlider(min=-180, max=180, step=5,value=0, orientation='vertical'), 
             xs=fixed(xs), 
             ys=fixed(ys))

This is what I have:

This is what I want:

There might be a very simple way to do this, but I can't figure out myself.

I tried to place both the fig and the interactive widget into a VBox then wrapping the VBox with IPython.display and it didn't work.

Could not find a straight solution to this in the examples.

EDIT1:

ipywidgets provides an Output() class that captures the output area and use it inside the widget context.

I will try to figure out how to use it.

This is the object: https://github.com/jupyter-widgets/ipywidgets/blob/master/ipywidgets/widgets/widget_output.py