Answer:
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.
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.