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 9x + 12y = 396.
Lauren wants to graph the situation to easily look at all combinations of meals. Rewrite the equation in
slope-intercept form to make it easier to graph: y = mx + b
Simplify all fractions. Enter values as simplified fractions or terminating decimals.

y = _

1 answer

To rewrite the equation in slope-intercept form, we need to isolate the variable "y" on one side of the equation.

Starting with the original equation:

9x + 12y = 396

Subtract 9x from both sides:

12y = -9x + 396

Divide both sides by 12:

y = (-9/12)x + 33

Simplifying the fraction -9/12, we get:

y = (-3/4)x + 33