Answer:
![y=-5x+0](https://img.qammunity.org/2023/formulas/mathematics/high-school/kbzhudrjbn23hfj9qlynziuxa60g46cao7.png)
Explanation:
We know that slope intercept form is:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
And our slope is -5, and the variable we use for slope is m:
![m=-5](https://img.qammunity.org/2023/formulas/mathematics/high-school/o9y8cmf6jh9smhb8sfrfqizzm5am6wl9hr.png)
Our new equation becomes:
![y=-5x+???](https://img.qammunity.org/2023/formulas/mathematics/high-school/pipb16o4vzoyupcyicbmnt7a424n8gma2u.png)
And our y-intercept is 0, and the letter we use to express our y-intercept is b:
![b=0](https://img.qammunity.org/2023/formulas/mathematics/high-school/dgs6l8nar6j4txbhun1zqfs7syguy1d48x.png)
Our new equation is:
![y=-5x+0](https://img.qammunity.org/2023/formulas/mathematics/high-school/kbzhudrjbn23hfj9qlynziuxa60g46cao7.png)
Hence, the correct answer is
![y=-5x+0](https://img.qammunity.org/2023/formulas/mathematics/high-school/kbzhudrjbn23hfj9qlynziuxa60g46cao7.png)