12x=18-6y in slope intercept form

y = -2x +3

slope intercept form: y = mx +b

divide everything by 6.

2x = 3 - y

isolate y by subtracting 3 from both sides

2x - 3 = -y

divide by negative 1 to get positive y

-2x +3 = y

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints