Question 881268
Slope of the equation in standard form is {{{-(A/B)}}}.  You can find the constant C using this slope and either of the two given points.


Slope:  {{{(5-(-9))/(-4-(-5))=(14)/1}}}.
This slope means you could choose {{{14=-(A/B)}}} , {{{B=-1}}} and {{{A=14}}}.  {{{A=-14B}}}.


{{{Ax+By=C}}}
{{{14x-1*y=C}}}
{{{highlight_green(14x-y=C)}}}
Choose either point, example, taking (-4,5), find C.
{{{14(-4)-(5)=C}}}
{{{-56-5=C}}}
{{{highlight_green(-61=C)}}}
-
Putting the pieces together as the equation wanted,
{{{highlight(14x-y=-61)}}}
OR
{{{highlight(-14x+y=61)}}},  same thing, just multiplied BOTH sides by negative 1.