Final answer:
The lines -4x + 4y = -80 and x = 20 + y have infinitely many points of intersection.
Step-by-step explanation:
To find the point of intersection between the lines -4x + 4y = -80 and x = 20 + y, we need to solve the system of equations.
First, we can substitute the value of x from the second equation into the first equation:
-4(20+y) + 4y = -80
-80 - 4y + 4y = -80
-80 = -80
Since -80 is equal to -80, this means that the two equations are equivalent. Therefore, the lines are coincident and intersect at infinitely many points.