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

Solution:

It is given that

y = 2x ---- (1)

Here the slope is m = 2

The line passes through the origin

y = 2 - x ---- (2)

Here the slope is m = -1

x-intercept is (2,0)

y-intercept is (0,2)

Line 1 and Line 2 are not parallel as the slopes are not equal

Line 1 and Line 2 are not perpendicular as the product of their slopes is not equal to -1

The intersection point is (0.667,1.333)

The intersection point is common and belongs to both lines

Therefore, the reflection is over the y-axis.

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

Summary:

The relationship between the graphs of y = 2x and y = 2 - x is the reflection over the y-axis.