ax=8
ay=5
bx=3
by=5
cx=6
cy=7
dx=6
dy=3

a1 = by - ay
b1 = ax - bx
c1 = a1 * ax + b1 * ay
a2 = dy - cy
b2 = cx - dx
c2 = a2 * cx + b2 * cy
det = a1 * b2 - a2 * b1
if det == 0:
    nop
else:
    x = (b2 * c1 - b1 * c2) / det
    y = (a1 * c2 - a2 * c1) / det

print(x, y)