Answer:
[tex]y=-\frac{2}{3}x-2[/tex]
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
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{-2-0}{0-(-3)}\\m=\frac{-2}{3}[/tex]
Then, we use the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )\\y-0=-\frac{2}{3} (x-(-3))\\y=-\frac{2}{3}x-2[/tex]
Therefore, the right answer is the third choice.
