Point on graph closest to given point

Question

Find the point on the graph of the function that is closest to the given point.
f(x) = sqrt(x − 7)  ,  (19, 0)

Answer 1

1) Determine f'(x)

2) Determine the slope of the normal to f(x)

3) Determine the equation of the line with that slope and passing trough (19, 0)