Question

——AB. Formed by (0,2) and (5,4)—-AB formed by (1,8) and (3,3)Parallel, Perpendicular or neither?

Answer 1

Line AB

`\begin{gathered} \text{slope}=m=(y_2-y_1)/(x_2-x_1) \\ m=(4-2)/(5-0)=(2)/(5) \end{gathered}`

Line CD

`m=(3-8)/(3-1)=(-5)/(2)`

For lines to be perpendicular the product of their slope is equals to negative 1.

`\begin{gathered} m_1m_2=-1 \\ (2)/(5)*-(5)/(2)=-(10)/(10)=-1 \end{gathered}`

Therefore, the lines are perpendicular.