Yes, I can generate graphs! Let me create a graph for the rule $y = 2x - 3$. Hold on. as np import matplotlib.pyplot as plt

Define the function y = 2x - 3

x = np.linspace(-10, 10, 400) y = 2 * x - 3

Create the plot

plt.figure(figsize=(8, 6)) plt.plot(x, y, label='y = 2x - 3') plt.axhline(0, color='black', linewidth=0.8, linestyle='--') # x-axis plt.axvline(0, color='black', linewidth=0.8, linestyle='--') # y-axis plt.title('Graph of y = 2x - 3') plt.xlabel('x') plt.ylabel('y') plt.grid(alpha=0.5) pltHere is the graph for the equation $y = 2x - 3$.

If you want to draw it manually:

1. Create a table of values by substituting values of $x$ (e.g., -2, 0, 2) into the equation to find corresponding $y$-values.
2. Plot the points (e.g., (-2, -7), (0, -3), (2, 1)).
3. Draw a straight line through these points, extending it in both directions.

Do you have further questions or need more detailed explanations?

Here are 5 related questions to deepen your understanding:

1. How do you calculate the slope of a line given two points?
2. What does the slope (2 in this case) tell us about the line's steepness?
3. How would the graph change if the equation were $y = 2x + 3$?
4. How can you determine where the line intersects the x-axis and y-axis?
5. What happens to the graph if the slope is negative?

Tip: Always label the axes and plot a few points for accuracy when graphing equations.