Question

The equation of the line tangent to the curve y=(kx+8)/(k+x) at x=-2 is y=x+4. What is the value of k?

Answer 1

the tangent to a curve has the same slope at that point

Answer 2

x = -2 not 2

Answer 3

\[dy \over dx \] at x=-2 is equal to 1

Answer 4

why did you delete?

Answer 5

Statement was wrong

Answer 6

I wrote dy/dx equal to y=x+4

Answer 7

So I would find y when x =-2 using the equation of the line tangent, then use those x and y values to solve for k in the equation of the curve?