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import numpy as np import matplotlib.pyplot as plt # Define the original line equation y = 2x - 24 x_values = np.linspace(-10, 10, 400) y_values_original = 2 * x_values - 24 # Define the line y = -2x - 5 for comparison (from -2x + y = -5) y_values_parallel = -2 * x_values - 5 # Plotting the original line plt.figure(figsize=(10, 6)) plt.plot(x_values, y_values_original, label='y = 2x - 24', color='blue') # Plotting the parallel line plt.plot(x_values, y_values_parallel, label='y = -2x - 5', color='red') # Marking the point (8, -8) plt.scatter(8, -8, color='green', zorder=5) plt.text(8, -8, ' (8, -8)', fontsize=12, color='green') plt.axhline(0, color='black',linewidth=0.5) plt.axvline(0, color='black',linewidth=0.5) plt.xlabel('x') plt.ylabel('y') plt.title('Graph of y = 2x - 24 and y = -2x - 5') plt.legend() plt.grid(True) plt.show()
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