Question

How do you find the function rule if x is -1, 0, 1, 2 and y is 5, 6, 7, 8?

Answer 1

You first compare the `y`-steps to the corresponding `x`-steps.

You will notice that they both step up by `1` per step.
So the slope of the function is `1//1=1`

Second is to find the `y`-value for `x=0`
This gives us the `y`-intercept `6`

So the equation becomes:
`y=mx+b=1*x+6=x+6` (check the graph)
graph{x+6 [-9.005, 10.995, -0.32, 9.68]}