Let $\displaystyle {f{{\left({x}\right)}}}={5.8}{x}^{{2}}-{8.1}{x}$. Use the difference quotient and $\displaystyle {h}={0.001}$ to estimate the slope of the tangent line at $\displaystyle {x}={9}$.

What is the slope (round your answer to one decimal place)?   $\displaystyle {m}=$Preview Question 6 Part 1 of 3  

What is the $\displaystyle {y}$-value at $\displaystyle {x}={9}$?   $\displaystyle {f{{\left({9}\right)}}}=$Preview Question 6 Part 2 of 3  

Use the above (rounded) slope and $\displaystyle {y}$-value to write the equation of the tangent line to the graph of $\displaystyle {f{{\left({x}\right)}}}$ at $\displaystyle {x}={9}$. Write your answer in $\displaystyle {m}{x}+{b}$ format.

$\displaystyle {y}=$Preview Question 6 Part 3 of 3