The slope of the line below is -4. use coordinates of the labeled point to find a point-slope equation of the line. a) y+9=4(x-4)
b) y-9=-4(x+4)
c) y-9=4(x+4)
d)y+9=-4(x-4)

D)  y + 9 = -4(x -4)  

Step-by-step explanation:

The point-slope formula says that   y - b = m( x - a)  Where b is the y coordinate of a point, m is the slope and a is the x coordinate of the same point. Given the point (4,-9)  the x coordinate is 4 and the y coordinate is -9.

y - (-9) = -4(x - 4)   Reduce it.

y + 9 = -4(x -4)

  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).

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation: