Judy's graph displays two key points: (0, 10) signifies she can buy 10 drinks with $30, and (6, 0) indicates she can purchase 6 bags of popcorn without drinks.
The graph shows that Judy can buy 6 bags of popcorn and no drinks, or 0 bags of popcorn and 10 drinks, with her $30. The slope of the line is -3/2, which means that for every 3 bags of popcorn Judy buys, she can buy 2 fewer drinks. This is because each bag of popcorn costs $5 and each drink costs $3, so a difference of $2.
The y-intercept of the line is 10, which means that Judy can buy 10 drinks if she buys 0 bags of popcorn. This is because the price of each drink is $3 and Judy has $30.
The x-intercept of the line is 6, which means that Judy can buy 6 bags of popcorn if she buys 0 drinks. This is because the price of each bag of popcorn is $5 and Judy has $30.