Algebra help; line problems

Question

I need to find the parallel line equation for y = 6 / 1 + 6

Answer 1

ir you meant y = 6x +6

then y = 6x + b where b = any number other than 6, such as y = 6x +5

then that's a parallel line, same line shifted down one unit

but if you meant y = 6/x +6

you want another hyperbolic curve with same derivative y'=-6/x^2 = the slope

such as y = 6/x + 5, same hyperbola, just shifted down one unit

or if you really meant y = 6/1 +6

that's same as y = 6+6

and y = 12

parallel lines are y=11 or y=b where b = any number other than 12

i.e. any other flat horizontal line with slope = 0