Answer
$9$ and $ y=9x-2$
Work Step by Step
Now, $ m_{\tan}=\lim_\limits{ h\to 0} \dfrac{f(1+h)-f(1)}{h}$
or, $=\lim_\limits{ h\to 0} \dfrac{2(1+h)^2+(5+h)-2(1)^2-(5)(1)}{h}$
or, $=\lim_\limits{ h\to 0} \dfrac{2h^2+9h}{h}$
or, $=9$
The equation of a line is: $ y=mx+c $
Now, $ y-7=9(x-1) \implies y=9x-2$
