point_location.py

import matplotlib.pyplot as plt

p1 = [1, 1]
p2 = [5, 3]
p3 = [2, 3]

x_values = [p1[0], p2[0]]
y_values = [p1[1], p2[1]]
plt.plot(x_values, y_values, 'bo', linestyle="--")
plt.xlim(0, 6), plt.ylim(0, 6)
plt.text(p1[0]-0.015, p1[1]+0.25, "Point1")
plt.text(p2[0]-0.050, p2[1]-0.25, "Point2")
plt.text(p3[0]-.050, p3[1]-.25, "Point3")
plt.plot(x_values, y_values,  marker='o')


plt.plot(p3[0], p3[1], marker="o", markersize=10,
         markeredgecolor="red", markerfacecolor="green")


def orientation():
#     m1 = round(((p2[1]-p1[1])/(p2[0]-p1[0])),2)
#     m2 = round(((p3[1]-p1[1])/(p3[0]-p1[0])),2)

    # cross multiply to avoid 0 in Divisor 
    result =((p3[1]-p1[1])*(p2[0]-p1[0])) - ((p2[1]-p1[1])*(p3[0]-p1[0]))
    
    if result == 0:
        return 0

    return 1 if result > 0 else 2


response = ["TOUCH", "LEFT", "RIGHT"]

print(orientation())
plt.text(5, 5, response[orientation()],fontsize=22)

plt.show()