Question

Which statement is true about the graphs of the two lines y= -4/5x+2 and y= -5/4x - 1/2?

Answer 1

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

$m_{1}m_{2}=(-1)$

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

$m_{1}=m_{2}$

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

Therefore $m_{1} m_{2}=(-\frac{4}{5})(-\frac{5}{4})=(+1)$

and  $m_{1}\neq m_{2}$

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

Option 3 is the right answer.