Home > PC3 > Chapter 9 > Lesson 9.1.2 > Problem9-29

9-29.

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 $x = 3$.

The instantaneous rate of change is the slope.

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