For $\displaystyle f(x)=5x^2$ at the point (2,20), find

a) slope of curve

b) an equation of the tangent line

c) an equation of the normal line

Here is what I have so far:

a) $\displaystyle m=20$

b) $\displaystyle y-20=20(x-2)$

c) $\displaystyle y-20=-\frac{1}{20}(x-2)$

Is my work correct? Thanks!