Question 19Circles with centers $(2, 4)$ and $(14, 9)$ have radii $4$ and $9,$ respectively. The equation of a common external tangent to the circles can be written in the form $y = mx + b$ with $m \gt 0.$ What is $b?$ $\dfrac{908}{119}$$\dfrac{909}{119}$$\dfrac{130}{17}$$\dfrac{911}{119}$$\dfrac{912}{119}$
