Write the following standard form equation in slope intercept form.

y = 9 - x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

6x + 4y = 36 ( subtract 6x from both sides )

4y = - 6x + 36 ( divide all terms by 4 )

y = - x + 9

or

y = 9 - x

  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).

4.5%

step-by-step explanation: