# A point P in the first quadrant lies on the graph of the function #f(x) = sqrt x#, how do you express the coordinates of P as function of the slope of the line joining P to the origin?

##### 1 Answer

May 24, 2016

If m is the slope of line joining the origin O and P (x,

#### Explanation:

Here,

If m is slope of the line joining the origin

Now, if m is used as a parameter, P is

Thanks to Abhishek Dogra, I have now revised my answer to

remove the error pointed out by him.

The graph is a semi-parabola.

The other half is given by