Question 1018655
...always what?


Try taking the most generalized form you have, and find the x and y intercepts.
{{{Ax+By+C=0}}}


{{{Ax=-By-C}}}
let y=0
{{{Ax=B*0-C}}}
{{{x=-C/A}}}


{{{By=-Ax-C}}}
{{{y=(-Ax/B)-C/B}}}
let x=0
{{{y=-C/B}}}


The x intercept will be  {{{-C/A}}}
and 
the y intercept will be  {{{-C/A}}}.


Watch the signs carefully when you apply this.


What if Horizontal Line?
Slope is 0.
{{{y=mx+b}}}
{{{y=b}}}
{{{y-b=0}}}
{{{Ax+1*y-b=0}}}    (Do not confuse the differently cased variables)
but the slope being 0 requires that A=0, and finding y-intercept would give -{{{C/A=-(-b)/0}}} BUT DIVISION BY ZERO IS IMPOSSIBLE, so this method of finding the x-intercept will not give any result; in any case, as long as the horizontal line is any value other than 0, non-intersecting the x-axis is already known.