What is the system of equations shown in the graph

D)

y = - x + 1

y = -1/4 +2

Step-by-step explanation:

The equation of a linear graph: y = mx + b

The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.

The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2).  So the equation would be y = - 1/4x + 2.