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