Y= -x - 1 and y = 1/2x + k intersect at the point (-2,1). find the value of k.

k = 2

Step-by-step explanation:

(-2,1) =  (x,y)   So you substitute -2 and 1 for x and y

1 = -(-2) - 1    1 = 1/2 × -2 + k

1/2 × -2 = -1       -1 + 2 = 1

k = 2           1 = 1/2 × -2 + 2

I hope this helps

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