Which line is parallel to y = 1/4x + 6

A. y = - 4x + 2

B. y = - 4

C. y = - 1/4x + 7

D. y = 1/4x + 7

D because parallel lines have the same slope (they both have 1/4 as their slope)

If two lines have the same slope, then they are parallel. Slope is indicated by the number before the variable, in this case, "x". The line given and "D" have the same number before the variables, therefore the line and "D" are parallel.