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They have no relation, except for the fact that they intersect. If the equations were instead y = +5/4x - 1/2 and y = -4/5x + 2, or y = +4/5 + 2 and y = -5/4x -1/2, then they would be perpendicular.

Option 3 is the right answer.

Step-by-step explanation:

For the given lines y = -4/5x+2 and y = -5/4x - 1/2

we have to identify whether lines are parallel or perpendicular.

As we know if two lines are perpendicular then gradients of two lines will in the form of

m1 m2=(-1)

and if the lines are parallel then the gradients of the lines will be same.

m1=m2

Here m1 = -4/5 and m2 = -5/4

Therefore

m1m2=(-4/5)(-5/4)=(+1)

and  

m1≠m2

So both the lines are neither parallel nor perpendicular to each other.

Option 3 is the right answer.

ok

Step-by-step explanation: