This equation represents the amount in Diego's piggy bank after x weeks, with 5 added each week and an initial amount of 20.
The slope of a line represents the rate of change, which in this case is the amount of money Diego adds to his piggy bank each week. You mentioned the slope of the line is 5, which means for every additional week (x), Diego adds 5 to his piggy bank (y).
So, the equation representing this relationship between the amount in the piggy bank (y) and the number of weeks (x) would be:
y=5x+b
Where
b is the initial amount in the piggy bank when x is 0 (the y-intercept).
If you know the initial amount in the piggy bank, you can solve for
b using the information you have. For example, if Diego starts with 20 in his piggy bank, the equation would be:
y=5x+20
This equation represents the amount in Diego's piggy bank after x weeks, with 5 added each week and an initial amount of 20.
Question
Diego puts his new piggy bank on his desk. Each week he adds the same amount of money to his bank. The graph represents the amount in the piggy bank, y, after x weeks. The slope of the line is 5.