MHB How Do I Find a Point on a Curve with a Specific Slope?

[mathdad]

Find a point P on the curve y = sqrt{x} such that the slope of the line through P and (1, 1) is 1/4.

Must I use the slope-intercept formula here?

 

[Prove It]

Find a point P on the curve y = sqrt{x} such that the slope of the line through P and (1, 1) is 1/4.

Must I use the slope-intercept formula here?

Just the slope formula, with the points (1, 1) and $\displaystyle \begin{align*} \left( x, \sqrt{x} \right) \end{align*}$.

 

[mathdad]

Just the slope formula, with the points (1, 1) and $\displaystyle \begin{align*} \left( x, \sqrt{x} \right) \end{align*}$.

I can take it from here.