Question

Compleate the function table and write the function rule.

Answer 1

The function is x-12.
32-20=12, 14-2=12.
x-12= -6
Get x by itself by adding 12 to both sides
x = 6, your first missing number (in the input) is 6.
The same rule applies for the next missing number.
(-10) -12 = -22.
Your missing output is -22.
Hope this helps! :)

Answer 2

Find dy/dx

(20-2)/(32-14)=18/18=1 so the slope is 1 and we can say:

y=x+b, using any point we can solve for b, (32,20)

20=32+b, b=-12 so the line is:

y=x-12

So your missing x value is:

-6=x-12

x=6

and your missing y value is:

y=-10-12

y=-22

and again the function, or "rule" is:

y=x-12