Find the slope and the equation of the line tangent to f (x )equals StartFraction 2 x minus 1 Over x plus 7 EndFraction at x = 2. The slope of the line tangent to f(x) at x = 2 is nothing. Answer the following in slope-intercept form. (y = mx + b) The equation of the tangent line is y = nothing

Step-by-step explanation:

To find slope of f(x) at x=2, find the derivative f'(x)

apply quotient rule to find derivative

f'(x) is the slope . Now find slope at x=2. plug in 2 for x

find out f(x) when x=2

Now frame the equation of the line

(2,1/3) slope = 5/27

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

where is the diagram? shown below where? ?

step-by-step explanation: