Help answering the question and explain

linear

Step-by-step explanation:

For each increase of 1 in x, we decrease 2 in y

The slope is -2

It has a constant slope for all the points

There fore it is linear

We know the slope and the y intercept( when x=0, y =-3)

y = mx+b

y = -2x -3

We can check by picking a random point and verifying

(2,-7)

-7 = -2(2) -3

-7 = -4-3

-7=-7

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).