State whether the two lines in each of the following are parallel, perpendicular or neither: through (3,15) and (16,6); through (-5,3) and (8,2)

Explanation

Slope of the line joining` (3,15)` and `(16,6) m_{1}=frac{6-15}{16-3}=frac{-9}{13}`

Slope of line joining `(-5,3)` and `(8,2)`
`m_{2}=frac{2-3}{8-(-5)}=frac{-1}{13}`
Here, neither `m_{1}!=m_{2}` nor `m_{1} times m_{2}!=-1`
Therefore,

The lines are neither parallel nor perpendicular.