16. What is the slope of the line tangent to the circle x2 + y2 = 45 at the point (6,-3)?

A. -6

B. –1/2

C. 1/6

D. 2

E. 11/2

 

Solution: The answer is D

 

Use the method of implicit differentiation to solve for dy/dx.

 

Evaluate the above result at the point (6,-3).

 

 

Thus, the slope of the line tangent to the given circle at the point (6,-3) is 2.