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over the football season the Lancaster Legends score increased in game 2 they scored 21 points in game 7 they score 36 points find the slope between these two data points in the context of this problem

User Fred F
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2 Answers

6 votes
6 votes

Final answer:

The slope between the two data points is 3.

Step-by-step explanation:

To find the slope between the two data points, we need to use the formula:

slope = (change in y)/(change in x)

In this case, the change in y is the difference in points scored, which is 36-21 = 15. The change in x is the difference in game numbers, which is 7-2 = 5.

Therefore, the slope is 15/5 = 3. So, the slope between these two data points is 3 in the context of this problem.

User Xbalaj
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9 votes
9 votes

Data:

G2=21points

G7=36points

To find the slope you need to identify the variables:

As the number of points depend of the number of games: The number of points is the dependient variable and the number of games in the independient variable:

If x is the independient variable and y the dependient variable:

The slope is:


m=\frac{(y_2-y_1)}{(x_2-x_1)_{}}

You have:

x1=2 y1=21

x2=7 y2=36


m=((36-21))/((7-2))=(15)/(5)=3Then, the slope is 3 and it means that each game the Lancaster Legends score 3 points.
User Chris Travers
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