Answer:
The relationship between the graphs is the intersection point at (0.667,1.333)
Step-by-step explanation:
we have
y=2x ----> equation A
The slope of the line A is equal to m=2
The line passes through the origin
y=2-x ----> equation B
The slope of the line B is m=-1
The x-intercept is the point (2,0)
The y-intercept is the point (0,2)
Line A and Line B are not parallel (the slopes are not equal)
Line A and Line B are not perpendicular (the product of their slopes is not equal to -1)
so
The relationship between Line A and Line B is the intersection point both graphs
using a graphing tool
The intersection point is (0.667,1.333)
see the attached figure
The intersection point is a common point , therefore belongs to both lines