Answer
linear, $y=-\frac{1}{3}x-5$.
Work Step by Step
1. We can determine the relation is linear as the gap of $y$ is proportional to the gap of $x$.
2. Use two points to find the slope $m=\frac{-4+5}{-3-0}=-\frac{1}{3}$.
3. Use point $(0,-5)$ to get $y+5=-\frac{1}{3}x$ or $y=-\frac{1}{3}x-5$.