Answer:
The answer to your question is: neither parallel nor perpendicular.
Explanation:
Data
x - 7y = 10 ---(1) and 2x + 14y = 21 ---- (2)
First we need to clear y from two equations
7y = x -10 14y = -2x +21
y = x/7 - 10/7 y = -2/14 x + 21/14
y = -1/7 x + 3/2
slope = 1/7 slope = -1/7
They are neither parallel nor perpendicular, if they were parallel the slopes will be the same, if they were perpendicular they would have inverse values.