Find the point on the line y=10x3\displaystyle {y}=-{10}{x}-{3} closest to the point (9,7)\displaystyle {\left(-{9},{7}\right)}.

The function giving the distance between the point and the line is

s=\displaystyle {s}= (Enter a function of x\displaystyle {x})

 

The point closest to the line is (Enter the coordinates of the point. Be sure to include commas and parentheses as required.