The line whose slope is 4 and intersects the line 2x - 4y = 8 at x = 6 has the equation: y = 4x + 6 y = 4x + 1 y = 4x - 23

y = 4x + 2

Step-by-step explanation:

Thinking process:

Let the equations be:

slope, m = 4

the line 2x - 4y = 8

has the intersection at x = 6

Let x  = 6 be substituted into the equation 2x - 4y = 8

This gives:

2(6) - 4y = 8

12 - 4y = 8

-4y     =    -4

y = 1

the point is therefore ( 6, 1)

the equation of a straight line is given by the following:

  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).

3x + 4y -25 =0 represents the amount of change sianna should recieve