Consider the function and the value of a. f(x)=(-3)/(x-1), a=4. Use m_(tan)=\lim_(h->0)(f (a+h)-f (a))/(h) to find the slope of the tangent line. m_(tan)=f^(') (a). Find the equation of the tangent line to the graph of f at the point (a,f (a)). Which of the following options correctly represents the equation of the tangent line?
A. y = -3x + 13 B. y = -3x + 10 C. y = 3x + 13 D. y = 3x + 10