11.8 Parallel Lines

Write a program to draw a set of linear lines with equation

y = mx + b

where m is the slope of the line and b is the y-intercept. Prompt user to enter the slope and y-intercept. Draw the line from x=-10 to x=10. Use numpy arange method to generate x values from -10 to 10 with step size of 0.1. For example.,

x = np.arange(-10, 10, 0.1) 

Use the plt.axis() function to set the range of x and y values from -10 to 10. Add xlabel with x-axis, ylabel with y-axis, and title Parallel Lines.

After you have drawn the line, draw two lines that are parallel to the first line. Hint: Two lines are parallel if they have the same slope but different y-intercept. Draw two lines where the y-intercept value is one unit below the first line, and one unit above the first line. or example, if the first line y-intercept is 4, then draw lines with y-intercept of 3 and y-intercept of 5.

Note: You must name the Python file parallel.py. System will not accept any other name.