Answer:
[tex]y=-x+1[/tex]
Step-by-step explanation:
Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].
In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.
To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.
Using (1, 0) from the table:
[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]
Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]
