Can someone help me with these two problems and explain in d

Can someone help me with these two problems and explain in detail showing work.

In Exercises 33-38, find an equation of the line that is tangent to the graph of fand parallel to the given line.

differentiating f(x)

f\'(x) = -1/2x1/x sqrtx

equating this to the slope of the line

-1/2 x 1/xsqrtx = -1/2

x =1

f(1) = 1

eqn of line is (y-1)/(x-1) = -1/2

applying the same as above we get

x=2

f(2)=1

(y-1)/(x-2) = -1/2