A linear function contains the following points what are the slope and y-intercept of this function?

A. the slope is 4
the y-intercept is (0,5)

B. the slope is -4
the y-intercept is (0,5)

C. the slope is -1/4
the y-intercept is (0,5)

D. the slope of 1/4
the y-intercept is (0,5)

I believe the answer is C.

Step-by-step explanation:

Hope this helps you.

  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).