State whether the two lines in each of the following are parallel, perpendicular or neither: through (5,6) and (2,3); through (9,-2) and (6,-5)

Explanation

Slope of line joining `(5,6) `and `(2,3)`


`m_{1}=frac{y_{2}-y_{1}}{x_{2}-x_{1}}=frac{3-6}{2-5}=frac{-3}{-3}=1`


Slope of line joining` (9,-2)` and` (6,-5) `


`m_{2}=frac{y_{2}-y_{1}}{x_{2}-x_{1}}=frac{-5-(-2)}{6-9}=frac{-5+2}{-3}=1`


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