Answer:

Step-by-step explanation:
To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

So, the average rate of change of:

Over the interval 
Is:


Therefore, the average rate of change of this function over that interval is 3.
Answer:
12 and -9
Step-by-step explanation:
12 x -9 = -108
12 + -9 = 3
Answer:
Length of kitchen on blueprint = 4 in.
Step-by-step explanation:
Scale used to draw a blueprint of a house :
6 feet = 1 in.
Therefore, 1 feet =
in.
If the length of kitchen = 24 feet
Then the length of kitchen on the blueprint will be
= 
= 4 in.
Therefore, length of kitchen on blueprint is 4 in.
Answer:
0
Step-by-step explanation:
m=y-y1/x-x1
m=4-4/-2-3=0/-5
m=0
Answer:
y=2x+1
Step-by-step explanation:
Parallel = gradients are the same
Example: y=2/4x+5
Perpendicular = gradients are the inverse of each other
Example: y= -4/2x+1
Any equation would be correct unless the gradient is 2/4 or -4/2