ANSWER
The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Step-by-step explanation
Two lines are parallel if they have the same slope, and perpendicular if the slopes are opposite reciprocals of each other.
As we can see, the slopes of these lines are -4/5 and -5/4. They are different slopes so the lines are not parallel. The opposite reciprocal is the value with the fraction flipped and with the opposite sign, so the opposite reciprocal of the first slope would be,
The second slope is 5/4 but negative, so it is not the opposite reciprocal of the first slope. Therefore, these lines are neither parallel nor perpendicular to each other.