Question

are the two lines given lines parallel,perpendicular,or neither
y=7x-9, y=1/7+3

Answer 1

parallel: the slopes are the same
perpendicular: the second slope is the negative inverse of the first

in this case, the slope is inverse but it is not negative (1/7 x)
so neither

Answer 2

what are the slopes of the lines?

if they are equivalent then the lines are parallel.

if the product of the slopes is -1 then they are perpendicular.

if neither of these is true, then it would be neither.