Step-by-step explanation:
2) Slope can be written as rise over run:
- rise: add to the y-value
- run: add to the x-value

3) Slope formula is: 

4) Average rate of change is the slope of the given interval:
a) when x = 0, y = 0 and when x = 1, y = -3

b) when x = -2, y = 0 and when x = -1, y = 3

c) when x = 0, y = 0 and when x = 2, y = 0

It depends on how complex the game is. I can make a Python game in 30 minutes, but it will only support text. Hope this helps!!!
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
The answer is 6, reaosn is because 6/8 is not simplified, so if we divide both sides by 2 (the numerator and the denominator), we can get a simplified fraction, which is 3/4. Steps: 6/8, 6 divided by 2/8 divided by 2, 3/4.
Hope this helped!
Nate