Lauren is planning a catered dinner party for her parents' anniversary with a dinner budget of $396. She has selected two options: a chicken dinner that costs $9 per plate and a steak dinner that costs $12 per plate. Lauren is working on the guest list and must also determine how many of each meal to order.

The equation that represents the situation is
.

Lauren wants to graph the situation to easily look at all combinations of meals. Re-write the equation in slope-intercept form to make it easier to graph:



Simplify all fractions. Enter values as simplified fractions or terminating decimals.

y=

9x+12y=396