A Point Moves Along the Curve $3 y + y ^ { 2 } - 8 x = 2$

Multiple Choice

A point moves along the curve $3 y + y ^ { 2 } - 8 x = 2$ . When the point is at $\left( - \frac { 1 } { 2 } , - 1 \right)$ , its $x$ -coordinate is increasing at the rate of 3 units per second. How fast is its $y$ -coordinate changing at that instant of time?

A) 24 units/sec
B) 26 units $/ \mathrm { sec }$
C) $- 24 \mathrm { units } / \mathrm { sec }$
D) $- 22$ units $/ \mathrm { sec }$