as np import matplotlib.pyplot as plt

Define the slope and y-intercept

slope = 2 / 5 y_intercept = -3

Generate x values

x = np.linspace(-10, 10, 500)

Calculate corresponding y values using the line equation

y = slope * x + y_intercept

Create the plot

plt.figure(figsize=(8, 6)) plt.plot(x, y, label=f"y = {slope}x + ({y_intercept})") plt.axhline(0, color='black', linewidth=0.8, linestyle='--') plt.axvline(0, color='black', linewidth=0.8, linestyle='--') plt.scatter(0, y_intercept, color='red', label="Y-intercept (-3)") plt.title("Graph of the Line") plt.xlabel("x") plt.ylabel("y") plt.grid(color='gray', linestyle='--', linewidth=0.5) plt.legend() plt.showHere is the graph of the line with the given features:

• Y-intercept: -3 (marked in red on the graph).
• Slope: 2/5, meaning the line rises 2 units for every 5 units it moves to the right.

Would you like further details about the calculation or the graph? Here are some related questions you might explore:

1. How do you find the equation of a line with a given slope and y-intercept?
2. What changes occur to the graph when the slope is increased or decreased?
3. How can you determine the x-intercept of this line?
4. What does a positive vs. negative slope signify in a graph?
5. How would this line change if the y-intercept were shifted?

Tip: When graphing, always label key features like intercepts and slopes to make the visualization clear!