The slope of the tangent line to the curve at the point is: i got 0.040816326 but its wrong
The equation of this tangent line can be written in the form where is:
and where is:
Your answer is wrong because you forgot the minus sign. The derivative of $\displaystyle \frac{2}{x}$ is $\displaystyle -\frac{2}{x^2}$. Plug in $\displaystyle x=7$ to get that $\displaystyle m=-\frac{2}{49}$.