Question 1205969
very common exercise solved here maybe millions of times


Equation of line througn points (p,v) and (h,k);


slope is  {{{(k-v)/(h-p)}}}.
If picking to use point-slope form to begin then:
{{{y-k=((k-v)/(h-p))(x-h)}}};
Adjust to whatever form of equation you need.


Your example:
{{{y-2=((-1-2)/(-2-(-3)))(x-(-3))}}}


{{{y-2=-(3/1)(x+3)}}}

{{{y-2=-3x-9}}}

{{{highlight(y=-3x-7)}}}