# How do you find the equation of the tangent and normal line to the curve #y=1/x^3# at #(2,1/8)#?

##### 1 Answer

The slope of the tangent line is the first derivative evaluated at x = 2.

The slope of the normal line will be perpendicular to the tangent.

Use the point-slope form to find the equation.

#### Explanation:

To find the slope of the tangent line,

The slope of the normal line,

Using the point-slope form of the equation of a line, we find that the equation of any line passing through the point

Substitute the value of

Substitute the value of