Question

Write a function rule for this table....

Answer 1

I suppose it is not obvious, but these points lie on a line.
y changes down 1 and x changes up 1.
If you take two of the pair, e.g. (-1,3) and (0,2), and find the equation of the line through these 2 points, that would be the answer

Answer 2

how do u find the equation of the line?

Answer 3

the easiest way is to first find the slope:
change in y divided by change in x
that means take the 2nd number from the pair (-1,3) and subtract the 2nd number in (0,2):
3-2= 1 is the change in y
now change in x: -1 -0= -1
divide change in y by change in x: 1/-1= -1
that is the slope: m=-1
now solve
y= -x+b for b. Use (0,2) for (x,y) to find b
2= -1*0+b
b=2

y= -x+2

Answer 4

Omg, i see now. So then if it was in function form,as my teacher calls it,then it would be written as f(x)=-x+2. I get it now! Thanks again!