When we perform rigid transformations on parallel lines, what do we know about their image? Does the distance between the lines change?

The distance between each line does not change.

Explanation:

Because you are just transforming it. It's not like you are changing the shape at all, you are just moving it to a different area on the grid. You can transform it over the x-axis, or you could transform it over the y-axis. It doesn't matter. Hope that answered your question.

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation