Find the ratio in which the point C(6,–17,–4) divides the line segment joining the points A(2, 3, 4) and B(3, –2, 2)

The ratio in which P(x, y, z) divides line segment $\text{ joining }\overline{\mathrm{AB}}\text{ is }{\mathrm{x}}_1-\mathrm{x}:\mathrm{x}-{\mathrm{x}}_2$
Given points
$\begin{array}{r}\mathrm{C}(6,-17,-4),\mathrm{A}(2,3,4),\mathrm{B}(3,-2,2)\\ \begin{array}{lllllll}\mathrm{x}& \mathrm{y}& \mathrm{z}& {\mathrm{x}}_1{\mathrm{y}}_1{\mathrm{z}}_1& {\mathrm{x}}_2& {\mathrm{y}}_2& {\mathrm{z}}_2\end{array}\end{array}$
$\mathrm{Ratio} \mathrm{is} {\mathrm{x}}_1-\mathrm{x}:\mathrm{x}-{\mathrm{x}}_2$
$\begin{array}{l}\Rightarrow 2-6:6-3\\ \Rightarrow -4:3\end{array}$