PLEASE I NEED HELP ASAP!

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

y=4-x
2y=8-2x

(0, 4)
(4, 0)
no intersection point
infinite intersection points

Respuesta :

intersection point is the point whichis the solution of the system of equations, so we need to solve the system:
y=4-x
2y=8-2x .....divide by two=> y=4-x

Since the second equation is the same as the first, there is an infinite number of solutions, any solution that satisfies x+y=4 will do, including the first two choices.  The correct answer is infinite intersection points (because the two lines are overlapping all along).
If multiple choices are expected, choose 1,2 and 4.