import pandas as pd

Create a table for the equation y = 8x + 4 for x between -1 and 3

x_values = range(-1, 4) # x values from -1 to 3 inclusive y_values = [8 * x + 4 for x in x_values] # Calculate corresponding y values

Create a DataFrame for better presentation

data = {'x': x_values, 'y': y_values} table = pd.DataFrame(data)

import ace_tools as tools; tools.display_dataframe_to_user(name="Table of x and y values for y = 8x + 4", dataframe=table) x y 0 -1 -4 1 0 4 2 1 12 3 2 20 4 3 28 x y 0 -1 -4 1 0 4 2 1 12 3 2 20 4 3 28successI have created a table showing the values of $x$ and $y$ for the line $y = 8x + 4$ where $x$ is between $-1$ and $3$. Let me know if you have any questions or need further assistance!

Here are 5 questions to expand your understanding:

1. What does the slope of the line ($8$) indicate about its steepness?
2. How would the table change if the slope were negative?
3. What happens to the $y$-intercept ($4$) if you adjust the equation by adding or subtracting a constant?
4. Can you graph these points to visualize the line?
5. How do the values in the table demonstrate the linear relationship between $x$ and $y$?

Tip: Always double-check your calculations by substituting values back into the equation to ensure accuracy!