Line Finder | Python Fiddle

class Point:

def __init__(self, x, y):
        self.x = x
        self.y = y

def __repr__(self):
        return '({0}, {1})'.format(self.x, self.y)

def lineFinder(myList):
    myPoints = []
    for i in range(len(myList)):
        point = Point(myList[i][0], myList[i][1])
        myPoints.append(point)
    # print(myPoints)
    result = []
    for p1 in myPoints:
        for p2 in myPoints:
            if p2 is p1:
                continue
            for p3 in myPoints:
                if p3 is p2 or p3 is p1:
                    continue
                # Test if 3 points are on a line: (x3−x1)(y2−y1)=(x2−x1)(y3−y1)
                if (p3.x - p1.x) * (p2.y - p1.y) == (p2.x - p1.x) * (p3.y - p1.y):
                    m = (p2.y - p1.y) / (p2.x - p1.x)
                    b = p1.y - m * p1.x
                    newLine = 'y = {0}x + {1}'.format(m, b)
                    # Make sure the new line we found doesn't already exist
                    if newLine not in result:
                        result.append(newLine)
    print(result)

test_example = [(0, 0), (1, 1), (3, 4), (2, 2), (3, 2), (5, 3), (8, 6)]

lineFinder(test_example)

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