Answer:
C.
![-6x-2y=12](https://img.qammunity.org/2019/formulas/mathematics/middle-school/6qkl3muho2otr18jn49oeysywvdywzx7en.png)
Explanation:
We are given that a graph.
We have to find the equation of given graph.
The line passes through the point (-2,0) and (0,-6).
Slope:m
![=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3ve27tf1k5bnbtegbpalkz2wpjgmjocxav.png)
By using the formula
![m=(-6-0)/(0+2)=-3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/aunxwvdj2zbuxujxui80wab39htvgnt198.png)
Slope-intercept form:
![y=mx+C](https://img.qammunity.org/2019/formulas/mathematics/middle-school/uf0ofl7tri5krhvi0fu1hjhq5fku6lu5uf.png)
Where m=Slope of line
C=y-intercept
y-intercept: It is that value of y for which x=0
We have y- intercept=-6
Using the formula
Equation of line
![y=-3x-6](https://img.qammunity.org/2019/formulas/mathematics/middle-school/nub8j9at9wk9a5tm9hm04ru6wijmv76p49.png)
![3x+y=-6](https://img.qammunity.org/2019/formulas/mathematics/middle-school/wllgkty1bx7mfn8kiun9du2iz28rvhg0ea.png)
Multiply by -2 on both sides then we get
![-6x-2y=12](https://img.qammunity.org/2019/formulas/mathematics/middle-school/6qkl3muho2otr18jn49oeysywvdywzx7en.png)