Question 1024026
Do you WANT to use simultaneous equations?  You can.


Your chosen form,  {{{y=(a/x)+b}}}.


Substituting the x and y coordinates to form two equations for the system:{{{system(-6=a/(-2)+b,-3=a/1+b)}}}


Simplify the system:
{{{system(-6=-a/2+b,-3=a+b)}}}


{{{system(-12=-a+2b,-3=a+b)}}}


{{{a-12=2b}}}
{{{highlight_green(a=2b+12)}}}-----You will use this again later...
substitute into the other equation.
{{{-3=(2b+12)+b}}}
{{{-3=2b+12+b}}}
{{{-3=3b+12}}}
{{{-1=b+4}}}
{{{-1-4=b}}}
{{{highlight(b=-5)}}}


Find a.
{{{a=2b+12}}}
{{{a=2(-5)+12}}}
{{{a=-10+12}}}
{{{highlight(a=2)}}}


Finishing with your chosen form,
{{{highlight(y=2/x-5)}}}