Question

WILL GIVE BRAINLIEST RATING AND THANKS!!

Answer 1

The data is equally spaced in x so let's start by taking first differences.

4-9 = -5

-1-4 = -5

-6 - -1 = -5

-11 - -6 = -5

Hmmm. I detect a pattern. That tells us we have a line and the slope is -5.

We read off the y intercept from x=0 as -1.

So our equation in slope intercept form is

y = -5 x - 1

or as a function

$f(x) = -5x -1$