Determine the equation of the normal line y=x^2+5 at the point (2, 9)

I got y= 4x+1

dy/dx = 2 x

so -1/slope = -1/2x = -1/4

y = -x/4 + b

9 = -1/2 + b

b = 9.5

y = -x/4 + 9.5

4 y = -x + 38