The given line equation is,

The given point is ,

The graph will look like this,
let us rewrite the line equtaion as ,

now, let us compare with the general equation of line,

then, A= 3,B=-1 and c= 6.
let us use the formula,
![\begin{gathered} d=\fracAx+By+c{\sqrt[]{A^2+B^2}} \\ d=\frac3*5+(-1)*1+6{\sqrt[\square]{3^2+(-1)^2}} \\ d=\frac15-1+6{\sqrt[\square]{9+1}} \\ d=\frac{20}{\sqrt[\square]{10}} \\ d=6.32 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/g5ir4s4dd3vk7mx9nnohmfthyok6htl6c4.png)
The shortest distance is 6.32 .