Question

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

Answer 1

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

$m=\frac{(36-21)}{(7-2)}=\frac{15}{5}=3$Then, the slope is 3 and it means that each game the Lancaster Legends score 3 points.