Untitled

import numpy as np
import matplotlib.pyplot as plt

# Define the range for x
x = np.linspace(-10, 10, 400)

# Define the lines (replace these with your actual equations)
lines = {
    'Line 1: y = 2x + 3': 2 * x + 3,  # m > 0, b > 0
    'Line 2: y = -1x + 1': -1 * x + 1, # m < 0, b > 0
    'Line 3: y = 0.5x - 2': 0.5 * x - 2, # m > 0, b < 0
    'Line 4: y = 3x + 1': 3 * x + 1   # m > 0, b > 0
}

# Plot each line
for label, y in lines.items():
    plt.plot(x, y, label=label)

# Add axes, grid, and legend
plt.axhline(0, color='black', linewidth=0.5, ls='--')
plt.axvline(0, color='black', linewidth=0.5, ls='--')
plt.grid(color='gray', linestyle='--', linewidth=0.5)
plt.title('Graph of Lines')
plt.xlabel('x')
plt.ylabel('y')
plt.ylim(-10, 10)
plt.xlim(-10, 10)
plt.legend()
plt.show()