.pyplot as plt import numpy as np

Define the function 2x - y = 5, rearranged as y = 2x - 5

x = np.linspace(-4, 4, 100) # x varies between -4 and 4 y = 2 * x - 5

Plot the line

plt.figure(figsize=(8, 6)) plt.plot(x, y, label="2x - y = 5", color='blue') plt.axhline(0, color='black',linewidth=0.5) plt.axvline(0, color='black',linewidth=0.5) plt.grid(color = 'gray', linestyle = '--', linewidth = 0.5) plt.title("Graph of the line 2x - y = 5") plt.xlabel("x") plt.ylabel("y") plt.legend() pltHere is the graph of the line $2x - y = 5$, plotted for $x$ values ranging from $-4$ to $4$.

Would you like further clarification or additional details? Here are some follow-up questions to consider:

1. How do you calculate and plot the points for a given equation manually?
2. What is the slope and y-intercept of this line, and how do they relate to the graph?
3. How can we modify this equation to shift the line up or down?
4. What are some real-world applications of linear equations like this one?
5. Would you like to explore parallel or perpendicular lines to this equation?

Tip: To quickly analyze a line, rewrite its equation in slope-intercept form ($y = mx + c$), where $m$ is the slope and $c$ is the y-intercept.