Question

Determine whether each pair of the likes is parallel perpendicular or neither

Answer 1

b.) Given:

$\begin{gathered} x+y=11 \\ 2x+y=11 \end{gathered}$

To determine whether the pair of the equations parallel perpendicular or neither:

Let us write it in slope intercept form,

$\begin{gathered} y=-x+11\ldots\ldots\ldots(1) \\ y=11-2x\ldots\ldots\ldots(2) \end{gathered}$

The slopes are,

$\begin{gathered} m_1=-1 \\ m_2=-2 \end{gathered}$

Since,

$\begin{gathered} m_1\ne m_2 \\ m_1m_2\ne-1 \end{gathered}$

Hence, the lines are neither parallel nor perpendicular.

So, the answer is neither.