The slopes of the lines y = (5/2)x+4 and y = (2/5)x-8/5 are 5/2 and 2/5 respectively in that order.
The two fractions 5/2 and 2/5 are not equal
5/2 = 2.5
2/5 = 0.4
So the lines are not parallel.
Multiply the two slopes and we get
(5/2)*(2/5) = (5*2)/(2*5) = 10/10 = 1
The result isn't -1 so the two lines aren't perpendicular either.
Final Answer: Neither