Jay collects eggs in a basket and weighs the basket. he graphed the relationship between the number of eggs
and the total mass (in grams).
total mass (g)
1
7
2 3 4 5 6
number of eggs
what does the slope represent in this context?

I don't really understand the numbers that you presented, but ill try to answer the question.

Jay is taking data on the weight of a basket with eggs depending on the number of eggs that is in the basket.

So for 1 egg, he knows that the basket weights w1

for 2 eggs he knows that the basket weights w2

and so on.

Then, in this context, if he does a linear relation of:

Weight = number of egs*k + b

where k is the slope and b is the y-intercept.

k represents the average weight of one egg, and b is the initial weight of the basket.