Question 1182757
You can start with this:  {{{y-5=((-6-5)/(-7-4))(x-4)}}}, and use simple algebra to put into Ax+By=C form.


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{{{y-5=((-11)/(-11))(x-4)}}}

{{{y-5=1(x-4)}}}

{{{y-5=x-4}}}

{{{y-x=-4+5}}}

{{{y-x=1}}}

{{{-1(y-x)=(-1)*1}}}

{{{-y+x=-1}}}

{{{highlight(x-y=-1)}}}

(But could be done in fewer steps)