Question

Find an equation of the tangent line to the curve at the point (4,2)

Answer 1

\[\LARGE f(x)=\frac{x-2}{x-3}\]

Answer 2

the slope of a tangent line if f'

use the point slope format to solve the for the line:

y - y1 = m(x-x1)

such that m = f'(4) and x1,y1 is the given point