Which king of function best models the date in the table

We can see that the y-intercept (the value of y when x=0) is -1 by looking at the table.

Now we just need the slope, or "m" of the linear equation.

m=(y2-y1)/(x2-x1)  in this case:

m=(-2--1)/(1-0)

m=-1/1

m=-1

Now that we know m and b of y=mx+b we can say the line is:

y=-x-1

So this is a linear equation, y=-x-1