Draw a curve connecting two points instead of a straight line in matplotlib

To draw a curve connecting two points instead of a straight line in matplotlib, we can take the following steps −

Set the figure size and adjust the padding between and around the subplots.
Define a draw_curve() method to make a curve with a mathematical expression.
Plot point1 and point2 data points.
Plot x and y data points returned from the draw_curve() method.
To display the figure, use show() method.

Example

import matplotlib.pyplot as plt
import numpy as np

plt.rcParams["figure.figsize"] = [7.00, 3.50]
plt.rcParams["figure.autolayout"] = True

def draw_curve(p1, p2):
   a = (p2[1] - p1[1]) / (np.cosh(p2[0]) - np.cosh(p1[0]))
   b = p1[1] - a * np.cosh(p1[0])
   x = np.linspace(p1[0], p2[0], 100)
   y = a * np.cosh(x) + b
   return x, y

p1 = [0, 1]
p2 = [1, 2]
x, y = draw_curve(p1, p2)
plt.plot(p1[0], p1[1], 'o')
plt.plot(p2[0], p2[1], 'o')
plt.plot(x, y)
plt.show()