Let f(x)=x2\displaystyle {f{{\left({x}\right)}}}={x}^{{2}} and g(x)=(x10)2+14.\displaystyle {g{{\left({x}\right)}}}={\left({x}-{10}\right)}^{{2}}+{14}. There is one line with positive slope that is tangent to both of the parabolas y=f(x)\displaystyle {y}={f{{\left({x}\right)}}} and y=g(x)\displaystyle {y}={g{{\left({x}\right)}}} simultaneously.



Find the equation of the line.

y =