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

To find distance to line from point if you have slope and intercept you can use formula from wiki https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line Python:

def distance(point,coef):
    return abs((coef[0]*point[0])-point[1]+coef[1])/math.sqrt((coef[0]*coef[0])+1)

coef is a tuple with slope and intercept