Wksht4: Equation of Tangent Line (roots)
Exercise
How to approach this type of problem
To find the equation of the line tangent to at , we need:
- The slope of the secant line, , given by .
- The ordered pair .
- 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 . .