Question

Find the slope and the inclination of the line AB if : A = ${\displaystyle (-1,2\sqrt{3})}$ and B = ${\displaystyle (-2,\sqrt{3})}$

Answer 1

A = ${\displaystyle (-1,2\sqrt{3})}$ and B = ${\displaystyle (-2,\sqrt{3})}$

Slope of AB = ${\displaystyle \frac{\sqrt{3}-2\sqrt{3}}{-2+1}=\frac{-\sqrt{3}}{-1}=\sqrt{3}=\tan \theta }$

Inclination of line AB = θ = 60°