Question

Determine whether the graphs of the pair of lines are parallel.
x+6=y
y-x = -2

The slope of the line x+6=y is ? (or is it undefined)?

Answer 1

that should be x+6=y and y-x = -2 I didn't mean for them to run together.

Answer 2

y=x+6 and y=x-2 are your l ines
Take the derivative (or look at the coefficient of x, slope, m) to find that y'=1 for both of them. They're parallel