The graph representing Danielle's debt has a slope of 2, which means the amount she owes increases by $2 each day. The y-intercept is 1, indicating the initial amount borrowed. The slope-intercept form of the equation is y = 2x + 1.
The slope of the graph representing the amount of money Danielle will owe her mom is crucial to understanding the financial changes over time. The slope signifies how much the debt increases each day. Starting with borrowing $1 on Monday and $2 each subsequent day, we can create the slope-intercept equation of the line that models the debt. The equation is y = 2x + 1, where 'y' represents the total amount Danielle owes, and 'x' represents the number of days since Monday, excluding it. The slope (m) is 2 because each day the amount owed increases by $2. The y-intercept (b) is 1 since this is the amount borrowed on the first day, where x equals 0. The slope-intercept form of an equation of a line is y = mx + b.
In conclusion, the slope indicates the daily increase in the amount owed, and the y-intercept represents the starting debt amount. For Danielle, the slope is 2, and the y-intercept is 1.