9. Write the equation of a line that is PERPENDICULAR to 6x+3y=15 and passes through the coordinate (12,-5).

y = 1/2x - 11

Step-by-step explanation:

Step one convert to y = mx+b form

6x + 3y =15

Isolate Y

3y = -6x + 15

Divde the 3 among the other numbers

y = -2x + 5

That is the equation

perpindiculr to that is y = 1/2x + 5 but solve for the points and plug in

the points are (12,-5)

So -5 = 1/2 (12) +b

-5 =  6 + b

Solve for B

-5 - 6 = b

b = -11

FINAL EQUATION

y = 1/2x - 11

  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).

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.