Equation of line tangent to graph?

Question

find the equation of the line tangent to the graph of f(x)=(4x-6)/(x+1) at x=0 

Answer 1

The function is

To find the slope of tangent line, derivative with respect to x to the above function.

Substitute x = 0 in the above equation.

To find the y-coordinate of the point, substitute x = 0 in the original function.

The point-slope from of line equation is , where m = slope and is point.

Substitute  in the point-slope form of line equation.

The tangent line equation is .

Graph :