For this case we have the following points given:
![(x_1=-2,y_1=0),(x_2=2,y_2=-4)](https://img.qammunity.org/2023/formulas/mathematics/college/q8gum5to4lvt2qwsna8sjvdnvxics7t2nh.png)
And the slope is given by:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
And replacing we got:
![m=(-4-0)/(2-(-2))=(-4)/(4)=-1](https://img.qammunity.org/2023/formulas/mathematics/college/so7viw79vimu0o3u2xdal42td33mw0wlb3.png)
The equation for the line is be given by:
![0=-1(-2)+b](https://img.qammunity.org/2023/formulas/mathematics/college/tfrn5on6radyg4rbcc92kwijm9cz9uxm4z.png)
![b=-2](https://img.qammunity.org/2023/formulas/mathematics/high-school/h6ex3l0mrsxxjxsc59x018wah3tawx95xl.png)
And the equation would be given by:
![y=-x-2](https://img.qammunity.org/2023/formulas/mathematics/college/mq0gd3zpin6dser71q218je7r6i0f9wuuh.png)
And the intersection points would be:
x=0 y=-2. (y intercept)
y=0, x=-2. (x intercept)
The best answer would be:
B , C and D