Answer:
4/3
Step-by-step explanation:
I drew a picture in the attachment to show what we are looking at.
I found the point (-3,-4). I drew my angle my triangle from the x-axis and the origin to the point.
The angle that is theta is the one formed by the x-axis and the hypotenuse of the triangle where this hypotenuse was formed from the line segment from the origin to the given point.
[tex]\tan(\theta)=\frac{\text{opposite to }\theta}{\text{adjacent to }\theta}=\frac{-4}{-3}=\frac{4}{3}[/tex]
So we could have said [tex]\tan(\theta)=\frac{y}{x}[/tex].