It's not clear if the given equation is [tex]y = -\frac{5}{7}\text{x} + 2[/tex] or [tex]y = -\frac{5}{7}\text{x} - 2[/tex]
Luckily both options have the same slope of [tex]m = -\frac{5}{7}[/tex]
The template is y = mx+b where m is the slope.
Rule: Parallel lines have the same slope but different y intercepts.
For instance, y = 2x+5 and y = 2x+7 are parallel (since m = 2 is their slope and they have different y intercepts 5 and 7).
Unfortunately you did not post the answer choices. Your answer would be of the form [tex]y = -\frac{5}{7}\text{x}+b[/tex] where b is not equal to 2 or -2 depending on the original equation mentioned earlier.
