What do the following two equations represent?

y + 1 = -4(x-2)

2x - 8y = 16

same line
distinct parallel lines
perpendicular lines
Intersecting, but not perpendicular lines

perpendicular lines

Step-by-step explanation:

when the two equation are written in slope intercept form:

y = -4x -7

y = 1/4x -2

the slopes are opposite reciprocals which means they are perpendicular

  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).