Question

Find the slope and inclination of the line passing through (8,1) and (6,5).

Answer 1

Slope of line PQ = `("y"_2 - "y" _1)/("x"_2 - "x"_1)`\

                          = `(5 - 1)/(6 - 8)`

                          = `4/-2`

               Slope = -2

Also,Slope of line PQ = tan θ

tan θ = -2

θ = tan^-1 (-2) 

Inclination = tan ^-1(-2)