Find slope of tangent

Question

Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. 

f(x)=9/2x at (1,9/2)

 

m=_______

y=_______

Answer 1

I think that the function is intended to be f(x) = 9/(2x), which is nonlinear.

f'(x) = (-9/2)x^-2

 

when x=1, m = f'(1) = -9/2.

 

now you can answer the question by using point-slope form of equation.