want to plot more than 2 randomwalk in same graph with different color,but with every new randomwalks, previous random walk plot is removed

Question

This is my module I made for random walk of a man for each step 1,-1 direction and up to 4 m distance, and up to 20 steps the coordinates will save in x_label and Y_label '''

from random import choice 
class RandomWalks:
    
    def __init__(self, num_point=20):
         self.numpoints = num_point
         self.x_label = [0]
         self.y_label = [0]

    def fill_walk(self):
    """Calculate all the points in the walk."""

    # Keep taking steps untill the walk reaches the desired length.
         while len(self.x_label) < self.numpoints:
             "Decide which direction to go and how far to go in that direction."
             x_direction = choice([1, -1])
             x_distance = choice([0, 1, 2, 3, 4])
             x_step = x_direction * x_distance

             y_direction = choice([1, -1])
             y_distance = choice([0, 1, 2, 3, 4])
             y_step = y_direction * y_distance

        # Reject moves that go nowhere.
             if x_step == 0 and y_step == 0:
                 continue

        # Calculate the next x and y values.
             next_x = self.x_label[-1] + x_step
             next_y = self.y_label[-1] + y_step

             self.x_label.append(next_x)
             self.y_label.append(next_y)

''' My code is running fine but, there is one problem coming, I want to start the next random walk every time I type yes when it asks keep_running, it should start a different random walk plot in the same previous plot that is why I plotted the line with different colour when more than one random walk occur \n *But, what happening is everytime I type 'y' to keep_running, it delete the previous plotted data and make new one different plot line * '''

 from random_walks import RandomWalks as rm
 import matplotlib.pyplot as plt

 rw = rm()
 colors = ['blue', 'red', 'purple', 'orange']
 count = -1
 keep_running = 'y'
 while keep_running == 'y':
 # Make a random walk, and plot the points.
 rw.fill_walk()
 plt.xlabel("x-cordinate", fontsize="14")
 plt.ylabel("y-cordinate", fontsize="14")
 plt.title("Random-walk", fontsize=24)
 plt.axis([-50, 50, -50, 50])
 count = count + 1
 if keep_running == 'y':
     plt.plot(rw.x_label, rw.y_label, color=colors[count])
     point_numbers = list(range(rw.numpoints))
     plt.scatter(0, 0, c="green", s=30)
     plt.scatter(rw.x_label[-1], rw.y_label[-1], c="red", s=30)
     plt.scatter(rw.x_label, rw.y_label, c=point_numbers, cmap=plt.cm.pink,edgecolors="none", s=50)
     plt.show()
 else:
     break

 keep_running = input("Make another walk ?(y/n): \t")

'''