Python plot x*y=k

xyk.py

import numpy as np
import matplotlib.pyplot as plt

# Define the function y = k/x
def f(x, k=100):
    return k / x

# Generate x values
x = np.linspace(0.1, 10, 400)  # Start from 0.1 to avoid division by zero
y = f(x)

# Plotting
plt.figure(figsize=(8, 6))
plt.plot(x, y, label='y = 100/x')
plt.plot(x, -y, label='y = -100/x')  # Negative part of the hyperbola
plt.title('Plot of x*y = 100')
plt.xlabel('x')
plt.ylabel('y')
plt.grid(True)
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color='black',linewidth=0.5)
plt.legend()
plt.show()