To draw different lines with a gradient of 2, let's set up a few equations for straight lines of the form \( y = 2x + b \), where \( 2 \) is the gradient (or slope), and \( b \) is the y-intercept. The y-intercept determines where the line crosses the y-axis.

Here are four different examples of lines with a gradient of 2:
1. \( y = 2x \)
2. \( y = 2x + 3 \)
3. \( y = 2x - 2 \)
4. \( y = 2x + 5 \)

I will now plot these four lines for you.import numpy as np
import matplotlib.pyplot as plt

# Define the range of x values
x = np.linspace(-10, 10, 400)

# Define the equations for different lines with gradient 2
y1 = 2*x
y2 = 2*x + 3
y3 = 2*x - 2
y4 = 2*x + 5

# Create the plot
plt.figure(figsize=(8, 6))
plt.plot(x, y1, label='y = 2x', color='blue')
plt.plot(x, y2, label='y = 2x + 3', color='red')
plt.plot(x, y3, label='y = 2x - 2', color='green')
plt.plot(x, y4, label='y = 2x + 5', color='purple')

# Add labels and title
plt.title('Lines with Gradient 2')
plt.xlabel('x')
plt.ylabel('y')
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color

Explore how to draw various lines with a gradient of 2, including equations like y = 2x, y = 2x + 3, y = 2x - 2, and y = 2x + 5. View plotted graphs and learn the basics of plotting straight lines with different gradients. Suitable for students in Grades 9-12.

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