CPM Homework Help : PC Problem 9-98

When $x = 3$ , the instantaneous rate of change of $y =\frac { 1 } { x }$ is $-\frac { 1 } { 9 }$ . Use this information to write the equation of the line tangent to the curve at $x = 3$ .

Hint:

The instantaneous rate of change is the slope.

More Help:

Evaluate the equation of the curve for $x = 3$ . Now you have a point on the tangent line.