Find the Tangent Given the Point (4,1)

To find the ${\displaystyle \tan \left(\theta \right)}$ between the x-axis and the line between the points ${\displaystyle (0,0)}$ and ${\displaystyle (4,1)}$, draw the triangle between the three points ${\displaystyle (0,0)}$, ${\displaystyle (4,0)}$, and ${\displaystyle (4,1)}$.

Opposite : ${\displaystyle 1}$

Adjacent : ${\displaystyle 4}$

${\displaystyle \tan \left(\theta \right)=\frac{\text{Opposite}}{\text{Adjacent}}}$ therefore ${\displaystyle \tan \left(\theta \right)=\frac{1}{4}}$.