Question 117168

{{{Ax+By+C=0}}} Start with the given equation




{{{By+C=-Ax}}}Subtract ax from both sides



{{{By=-Ax-C}}}Subtract c from both sides



{{{y=(-Ax-C)/B}}} Divide both sides by B


{{{y=(-A/B)x-C/B}}} Break up the fraction


The equation is now in slope intercept form {{{y=mx+b}}} where {{{m=-A/B}}} is the slope and {{{b=C/B}}} is the y-intercept

So the slope of {{{Ax+By+C=0}}} is {{{m=-A/B}}}