Question

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

Answer 1

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

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

and
`m_(1)\\eq m_(2)`

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

Option 3 is the right answer.