Answer: OPTION C.
Explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
Whrere "m" is the slope and "b" is the y-intercept.
The line intersects the y-axis when
, therefore, you can identify from the given table that "b" is:
![b=3](https://img.qammunity.org/2021/formulas/mathematics/college/1a6koqmaiqbnujqbp8k9ck377l3defol4z.png)
Now, in order to find the slope of that line, you can follow these steps:
1. Substitute the value of "b" and the coordinates of any point from the table and into
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
2. Solve for "m".
Then, choosing the point (1,1), you get:
![1=m(1)+3\\\\1-3=m\\\\m=-2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/s9yt5r9wgtznss7sxx7x3mki4gkbf2aiv3.png)
Therefore, you can determine that the equation of that line in Slope-Intercept form, is:
![y=-2x+3](https://img.qammunity.org/2021/formulas/mathematics/high-school/sqgu5x0jshwtwp6left9o25bxg6h6gb9xy.png)