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### Finding the Equation of a Tangent Line

```
Date: 10/6/95 at 17:20:3
From: David Gutierrez
Subject: tangent line

What is the equation of the tangent line to the graph of f(x)=x^(2/5) at
the point (-32,4)?
```

```
Date: 10/7/95 at 1:47:16
From: Doctor Andrew
Subject: Re: tangent line

Is this for a calculus course?  If so, then you probably want to take a
derivative of f at x = -32 to find the slope of the curve.  The slope
of the curve will be the slope of the tangent line.  Once you have a
slope and a point, you can write an equation for a line using the point
slope form for a line with slope m at (a,b)

(y - b) = m(x - a)

Good luck!

-Doctor Andrew,  The Geometry Forum

```
Associated Topics:
High School Calculus

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