Question

What is the relationship between the graphs of y = 2x and y = 2-x?

Answer 1

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