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. Re-write 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 y on one side of the equation.

9x + 12y = 396

Subtract 9x from both sides:

12y = -9x + 396

Divide both sides by 12:

y = (-9/12)x + 33

Simplify the fraction:

y = (-3/4)x + 33