Answer
7/3
Explanation:
Find f of x and f of y
F(x,y) = 2x + 27 - 16x + 4y + 20, f of x = -14
F(x,y) = 2x + 2y - 16x + 4y + 20, f of y = 6
Find the fist partial derivative
f of x = -14
f of y = 6
Subsitude f of x = 14 and f of y = 6 into dy/dx = - f of x / f of y
reduce the fraction
dy/dx = - 14/6 = - - 7/3 = 7/3