Question

Which of the following represent a linear relationship with no slope? Select all that apply.

A
x = 3
B
y = 3
C
x + y = y + 1
D
x + y = x + 1

Answer 1

A linear relationship with no slope would be a vertical line, meaning the equation would have no x-term (or the x-term would have a coefficient of 0). So, the correct options are:

A. x = 3

B. y = 3

Both A and B represent a linear relationship with no slope. Option C and D both have x and y terms and can be rearranged to y = -x + 1 (for option C) and y = -x + 1 (for option D), both of which have a slope of -1.