Question

The graph for the equation y=-x+2 is shown. If another equation is graphed so that the system has an infinite number of solutions, which equation could that be?

A. y=-2(x-1)
B. y=-(x+2)
C. y=-1/4(4x-8)
D. y=-1/2(x+4)

Answer 1

C

Explanation:

Note that C is exactly -1/4(4x-8) = -1/4*4x -1/4*(-8) = -x+2, so the system with C is the same equation twice, and obviously has an infinite number of solutions.