Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
In this question:
Over the interval [-9,-2], so 
The function is:
Then
The average rate of change of the function over the interval is of 6.
= 11/12 - 1/6q + 5/6q - 1/3
to add like terms, we must first convert 1/3 to a common denominator with 11/12
= 11/12 - 1/6q + 5/6q - 4/12
combine like terms
= (-1/6q + 5/6q) + (11/12 - 4/12)
add/subtract inside each parentheses
= 4/6q + 7/12
simplify 4/6 by 2
= 2/3q + 7/12
ANSWER: 2/3q + 7/12
Hope this helps! :)
This answer is not correct, I need to figure out how things work so jsut ignore this answer okay. 350 punt
To find the slope of a line given two points, use: (y2 - y1) / (x2 - x1)
A. (7-3) / (-1-5) = (4/-6) or -2/3
B. The slope of a line parallel to another line will be the same, so -2/3
C. The slope of a line perpendicular to another line will be the reciprocal and the sign will also change. Because the slope was -2/3, the slope of the perpendicular changes to 3/2 (positive)
