Question

Find an equation of the tangent line to the curve f(x)=-1/x+2 at the points (2, -1/4).

Answer 1

is it -1/(x+2) or (-1/x) + 2
In either case, take the derivative, put in (x=2), and that is the slope.

Y=mx+b
now at the point in question, you have, x, m, y solve for b.

Answer 2

f'(x) = -1/x^2
which at (2, -1/4) is -1/4

so y + 1/4 = -1/4(x-2)
times 4

4y + 1 = -(x-2)

x+4y = 1

Answer 3

Bobpursley, It is -(1)/(x+2)