Extended sides

Line DE

B = (-6, -2)
A = (-2, 4)
g = Line(A, B)
C = (2, -2)
e_1 = Line(A, C)
poly1, c, a, b = Polygon(A, B, C)
u = Vector(A, B)
v = Vector(A, C)
transformation: {{x(u), x(v)}, {y(u), y(v)}}
inverse: transformation^(-1)
D = (-4, -2)
d = Vector(A, D)
text1: "D= (" + (LaTeX[1 - x(inverse * d) - y(inverse * d)]) + ", " + (LaTeX[x(inverse * d)]) + "," + (LaTeX[y(inverse * d)]) + ")"
f = Line(B, C)
h = false
E = (-6.250759472168779, 0.1779880913408641)
e = Vector(A, E)
text2: "E=(" + (LaTeX[1 - x(inverse * e) - y(inverse * e)]) + "," + (LaTeX[x(inverse * e)]) + "," + (LaTeX[y(inverse * e)]) + ")"
i = Line(D, E)
ee: {1 - x(inverse * e) - y(inverse * e), x(inverse * e), y(inverse * e)}
dd: {1 - x(inverse * d) - y(inverse * d), x(inverse * d), y(inverse * d)}
ecrossd: ee ⊗ dd
text3: "DE=\{" + (LaTeX[Element[ecrossd, 1]]) + "x+" + (LaTeX[Element[ecrossd, 2]]) + "y+" + (LaTeX[Element[ecrossd, 3]]) + "z=0\}"
j = false