Find the Tangent Given the Point (-7,4)

To find the ${\displaystyle \tan \left(\theta \right)}$ between the x-axis and the line between the points ${\displaystyle (0,0)}$ and ${\displaystyle (-7,4)}$, draw the triangle between the three points ${\displaystyle (0,0)}$, ${\displaystyle (-7,0)}$, and ${\displaystyle (-7,4)}$.

${\displaystyle \tan \left(\theta \right)=\frac{\text{Opposite}}{\text{Adjacent}}}$ therefore ${\displaystyle \tan \left(\theta \right)=\frac{4}{-7}}$.

Move the negative in front of the fraction.