Recreate plot from matplotlib using PIL

I have this data:

import numpy as np

N = 461
x = np.linspace(0, 4 * np.pi, N)
y = np.sin(x) + 50

I can plot it using matplotlib like this:

import matplotlib.pyplot as plt

fig, ax = plt.subplots()
ax.plot(x, y)
plt.show()

I want to recreate the drawing made in matplotlib in PIL. I have tried this:

from PIL import Image, ImageDraw

im = Image.new('L', (N, N))
draw = ImageDraw.Draw(im)
for i in range(len(x) - 1):
    draw.line((x[i], y[i], x[i+1], y[i+1]), fill='red', width=2)
im.show()

Perhaps the problem is that my data format is "4.005,4.006". How to make the same graph in PIL?

Your x,y values need some shifting and magnification to somewhat resemble matplotlibs plot. I am not very good in plotting. This is what I could do. You can fine tune further.

from PIL import Image, ImageDraw
import numpy as np

N = 300
x = np.linspace(0, 4 * np.pi, N) * 200
y = np.sin(x) * 200 + 250

im = Image.new('RGB', (500, 500), color=(255, 255, 255))
draw = ImageDraw.Draw(im)
for i in range(len(x) - 1):
    draw.line((x[i], y[i], x[i+1], y[i+1]), fill='red', width=1)
im.show()