Question

Which lines are perpendicular to 5x + 4y = 8?

Choose all answers that are correct.

_5x + 4y = _5
5y = _4x _ 15
5y = 4x + 5
_4x + 5y = 10

Answer 1

Finite Math. Find Any Equation Perpendicular to the Line 5x-4y=8. 5x−4y=8 5 x - 4 y = 8. Choose a point that the perpendicular line will pass through. (0,0) 0 , 0

Answer 2

If two lines are penpendicular their slopes has to be reciprocal, satisfying the next condition:

`m_(1) * m_(2) = -1`

Explanation:

First of all we have to obtain the slope of each line, we can do this by reducing the line equation into this form:

`y = m*x + b`, where m represents the slope.

• 
  `y = (5)/(4)x + 2`
  `m=(5)/(4)`

1. 
   `y = (5)/(4)x - (5)/(4) \\ m=(5)/(4) \\ m_(1)*m =(25)/(16)\\NotPerpendicular`
2. 
   `y = -(4)/(5)x - 3\\ m=-(4)/(5)\\ m_(1)*m=-1\\Perpendicular`
3. 
   `y =(4)/(5)x + 1\\m=(4)/(5)\\ m_(1)*m=1\\NotPerpendicular`
4. 
   `y =(4)/(5)x + 2\\ m=(4)/(5)\\m_(1)*m=1\\NotPerpendicular`