# A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the value of m? What is the equation of the tangent line?

##### 1 Answer

Oct 7, 2016

The equation of tangent is

#### Explanation:

Let the desired tangent be at

Further, slope of tangent to the curve is given by first derivative,

the slope of tangent at is

Equation of a line passing through point

Hence equation of tangent is

As the tangent passes through

and equation of tangent is

or

graph{(y-lnx)(x-ey)=0 [-2.333, 7.667, -1.4, 3.6]}