Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Whrere "m" is the slope and "b" is the y-intercept.
The line intersects the y-axis when [tex]x=0[/tex], therefore, you can identify from the given table that "b" is:
[tex]b=3[/tex]
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 [tex]y=mx+b[/tex]
2. Solve for "m".
Then, choosing the point (1,1), you get:
[tex]1=m(1)+3\\\\1-3=m\\\\m=-2[/tex]
Therefore, you can determine that the equation of that line in Slope-Intercept form, is:
[tex]y=-2x+3[/tex]
