To find the equation of the line tangent to at , we need:
The slope of the secant line, , given by .
The ordered pair .
The Plan
To find , we will first find using the formula, . Then, we evaluate at .
To find the ordered pair, we plug into our equation, .
From the graph above, we see . This is shown algebraically in the Solution pdf at the end of the page.
Using point slope form, our equation is given by, . In this case, and .
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Solution
Information: Wksht4: Equation of Tangent Line (roots)