Find the slope of the line that passes through (41, 81) and (75, 71).

y=5/17x+17 3/17

Step-by-step explanation:

put the points on slope to get 5/17. then use point slope form (y-y1)=m(x-x1) and plug in 41 for x1, 81 for y1, and 5/17x for m

  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).