Python intersection of two lines

(Geometry: intersection) Suppose two line segments intersect. The two endpoints for the first line segment are (x1, y1) and (x2, y2) and for the second line segment are (x3, y3) and (x4, y4). Write a program that prompts the user to enter these four endpoints and displays the intersecting point.

class Intersection():
    def __init__(self, x1, y1, x2, y2, x3, y3, x4, y4, a = 1, b = 1, c = 1, d = 1, e = 1, f = 1):
        self.__x1 = x1
        self.__x2 = x2
        self.__x3 = x3
        self.__x4 = x4
        self.__y1 = y1
        self.__y2 = y2
        self.__y3 = y3
        self.__y4 = y4
        self.__a = a
        self.__b = b
        self.__c = c
        self.__d = d
        self.__e = e
        self.__f = f
    def getA(self):
        return self.__a
    def getB(self):
        return self.__b
    def getC(self):
        return self.__c
    def getD(self):
        return self.__d
    def getE(self):
        return self.__e
    def getF(self):
        return self.__f
    def isSolvable(self):
        if Intersection.getA(self) * Intersection.getD(self) - Intersection.getB(self) * Intersection.getC(self) != 0:
            return True
        else:
            return False

    def getX(self):
        if Intersection.isSolvable(self) == False:
            return 'The equation has no solution!'
        else:
            x = (Intersection.getE(self) * Intersection.getD(self) - Intersection.getB(self) * \
                 Intersection.getF(self)) / (Intersection.getA(self) * Intersection.getD(self) - \
                Intersection.getB(self) * Intersection.getC(self))
            return x

    def getY(self):
        if Intersection.isSolvable(self) == False:
            return 'The equation has no solution!'
        else:
            y = (Intersection.getA(self) * Intersection.getF(self) - Intersection.getE(self) * \
                 Intersection.getC(self)) / (Intersection.getA(self) * Intersection.getD(self) - \
                Intersection.getB(self) * Intersection.getC(self))
            return y

    def getx1(self):
        return self.__x1
    def getx2(self):
        return self.__x2
    def getx3(self):
        return self.__x3
    def getx4(self):
        return self.__x4
    def gety1(self):
        return self.__y1
    def gety2(self):
        return self.__y2
    def gety3(self):
        return self.__y3
    def gety4(self):
        return self.__y4
    def setA(self):
        self.__a = self.__a * -1
    def setC(self):
        self.__c = self.__c * -1

    def getA1(self):
        self.__a = (Intersection.gety2(self) - Intersection.gety1(self)) / (Intersection.getx2(self) - Intersection.getx1(self))
        return self.__a
    def getC1(self):
        self.__c = (Intersection.gety4(self) - Intersection.gety3(self)) / (Intersection.getx4(self) - Intersection.getx3(self))
        return self.__c
    def getE1(self):
        self.__e = -(Intersection.getA1(self)) * Intersection.getx1(self) + (Intersection.gety1(self))
        return self.__e
    def getF1(self):
        self.__f = -(Intersection.getC1(self) * Intersection.getx3(self)) + (Intersection.gety3(self))
        return self.__f
def main():
    i = Intersection(2, 2, 0, 0, 0, 2, 2, 0)
    i.getA1()
    i.getC1()
    i.getE1()
    i.getF1()
    i.setA()
    i.setC()
    print('X = ', i.getX(), ' y = ', i.getY())

main()


SOLUTION:

X =  1.0  y =  1.0

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