Find the Tangent Given the Point (-6,3)

To find the ${\displaystyle \tan \left(\theta \right)}$ between the x-axis and the line between the points ${\displaystyle (0,0)}$ and ${\displaystyle (-6,3)}$, draw the triangle between the three points ${\displaystyle (0,0)}$, ${\displaystyle (-6,0)}$, and ${\displaystyle (-6,3)}$.

Opposite : ${\displaystyle 3}$

Adjacent : ${\displaystyle -6}$

${\displaystyle \tan \left(\theta \right)=\frac{\text{Opposite}}{\text{Adjacent}}}$ therefore ${\displaystyle \tan \left(\theta \right)=\frac{3}{-6}}$.