Question

Which equation represents a line which is perpendicular to the line y = 5x – 4? By – 5x = 48 8x - 5y = -35 Submit Answer O 5x + 8y = 32 O 8x + 5y = 5

Answer 1

if two lines are perpendicular, it is true:

`m1\cdot m2=-1`
`y=(8)/(5)x-4`

So:

`m1=(8)/(5)`
`\begin{gathered} (8)/(5)\cdot m2=-1 \\ \text{Solving for m2:} \\ m2=(-(5)/(8)) \end{gathered}`

Therefore, the answer is:

`\begin{gathered} 5x+8y=32 \\ \text{Solving for y:} \\ y=-(5)/(8)x+4 \end{gathered}`