Question

Find an equation of the tangent line to y = [2x]/[x+1] at the point (1,1)

Answer 1

Are you familiar with derivatives?

Answer 2

@sonalig

Answer 3

yes, I understand how to find the slope of the line but I am not sure how to find the y-intercept

Answer 4

So you know what derivatives are and how to use them right? @sonalig

Answer 5

Find dy/dx at the point (1,1) - that's you're slope.
Then you use the point-slope formula:
\[y-y_0=m(x-x_0),\text{ where}\\
(x_0,y_0)=\text{given point}\\
m=\text{slope}\]