Answer:
Any line with the slope 1 or y = x + b
Explanation:
Parallel lines by definition have the same slope
Value of the y-intercept or b doesn't matter in this case
You have to find the slope of the line through (3,6) and (5,8)
Slope equation is

Plug in values given

Evaluate

Any line with the slope of 1 (or no co-efficient in front of x) would be parallel to the line through (3,6) and (5,8)