Question

Find and compare the slope. Is it parallel, perpendicular, or neither.

Answer 1

We have to lines represented by two points each one and want to find out if they are parallel, perpendicular or neither.

We cab calculate the slope of each line and the compare:

`\begin{gathered} \text{For L}_1\colon(0,-1)(5,9)\colon \\ m_1=((-1)-9)/(0-5)=(-10)/(-5)=2 \end{gathered}`
`\begin{gathered} \text{For L}_2\colon(0,3)(4,1)\colon \\ m_2=(3-1)/(0-4)=(2)/(-4)=-(1)/(2) \end{gathered}`

If two lines are parallel their slopes are equal, so this is not the case.

If two lines are perpendicular their slopes satisfy the following equation:

`m_2=-(1)/(m_1)`

In this case, m1=2 and m2=-1/2, so they are penpendicular.