Answer:
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
[tex]m_{1}m_{2}=(-1)[/tex]
and if the lines are parallel then the gradients of the lines will be same.
[tex]m_{1}=m_{2}[/tex]
Here m1 = -4/5 and m2 = -5/4
Therefore [tex]m_{1} m_{2}=(-\frac{4}{5})(-\frac{5}{4})=(+1)[/tex]
and [tex]m_{1}\neq m_{2}[/tex]
So both the lines are neither parallel nor perpendicular to each other.
Option 3 is the right answer.
