linear

import numpy as np
import matplotlib.pyplot as plt
np.random.seed(42)

x = np.array([2, 3, 4 , 5, 6])
y = np.array([1, 3, 2, 4, 3])

m = 0
c = 0
alpha = 0.01

plt.plot(x, (m*x+c), "blue", linestyle="dashed", linewidth=3.0)
n = len(x)

for i in range(1000):
  E = (1/n) * (np.sum(np.square((y-(m*x+c)))))
  D_m = (-2/n) * (np.sum((y-(m*x+c))*x))
  D_c = (-2/n)* (np.sum((y-(m*x+c))))
  m = m - alpha * D_m
  c = c - alpha * D_c
  plt.plot(x, m*x+c)

plt.plot(x, m*x+c, "black", linewidth=3.0)
print("The cost function is : ", E)
print("The value of m is :", m)
print("The value of c is :", c)
plt.plot(x, y, 'ro')
plt.show()


output: 
The cost function is :  0.5403481903606565
The value of m is : 0.5124852554502746
The value of c is : 0.5441467505541417