Question 1110828
<br>
Use implicit differentiation to find an expression for the slope, dy/dx.<br>
{{{y^2 = 4x}}}
{{{2y(dy/dx) = 4}}}
{{{dy/dx = 4/(2y)}}}
{{{dy/dx = 2/y}}}<br>
At the point (4,4), the slope is
{{{2/4 = 1/2}}}<br>
Now you have a point (4,4) and a slope 1/2.<br>
Presumably if you are working on a problem like this you know how to find the equation of the line, given the slope and a point on the line.