Distance between point and a line (from two points)

Question

I\'m using Python+Numpy (can maybe also use Scipy) and have three 2D points

(P1, P2, P3); 

I am trying to get the distance from P3 perpend

Answer 1

Based on the accepted answer

Test with below line equation -

Find the perpendicular distance from the point (5, 6) to the line −2x + 3y + 4 = 0

• x-intercept p1 = [0, -4/3]
• y-intercept p2 = [2, 0]
• shortest distance from p3 = [5, 6] = 3.328

import numpy as np
norm = np.linalg.norm

p1 = np.array([0,-4/3])
p2 = np.array([2, 0])

p3 = np.array([5, 6])
d = np.abs(norm(np.cross(p2-p1, p1-p3)))/norm(p2-p1)
# output d = 3.328201177351375