![y=-\frac{2}{3}x-2](/tpl/images/0341/4559/5e7a4.png)
Step-by-step explanation:
To find the equation that represents the line, we just need to use two points on the line and find the slope first.
We are gonna use points (-3,0) and (0,-2). The slope formula is
![m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{-2-0}{0-(-3)}\\m=\frac{-2}{3}](/tpl/images/0341/4559/f9f2e.png)
Then, we use the point-slope formula
![y-y_{1} =m(x-x_{1} )\\y-0=-\frac{2}{3} (x-(-3))\\y=-\frac{2}{3}x-2](/tpl/images/0341/4559/41d03.png)
Therefore, the right answer is the third choice.