Question 918030
The equations are in standard form, and you can read the expressions for slopes for each equation.


Those slopes:  {{{-a/2}}}   and   {{{b/3}}}


The lines being PERPENDICULAR require the slopes to produce a product of {{{-1}}}.


{{{(-a/2)(b/3)=-1}}}
{{{(-a)(b)=-6}}}
{{{highlight_green(ab=6)}}}


a and b cannot finally be determined until you have more information.  YOU have two equations and eight variables.