Question

Determine whether the pair of lines is parallel perpendicular, or neither. - 12x + 3y = 4 4x - y

Answer 1

Given

`\begin{gathered} -12x+3y=4 \\ 4x-y=4 \end{gathered}`

Procedure

First, we will determine the slopes.

`\begin{gathered} -12x+3y=4 \\ y=(12)/(3)x+(4)/(3) \\ y=4x+(4)/(3) \\ m=4 \end{gathered}`
`\begin{gathered} 4x-y=4 \\ y=4x-4 \\ m=4 \end{gathered}`

They have equal slopes and are therefore parallel.