Question 958379
I assume the original equation is,
{{{Ax+By+C=0}}}
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Yes, what you have is correct.
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Now compare it to a line in slope-intercept form,
{{{y=mx+b}}}
When {{{A=0}}},
{{{y=-C/B}}}
Comparing the terms, there is no x term so {{{m=0}}} and {{{b=-C/B}}}.
Zero slope means horizontal line.
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When {{{B=0}}},
{{{x=-C/A}}}
When you compare to the standard case, it's not possible to compare. 
In this case, it is a vertical line and doesn't have a slope-intercept form because the slope is undefined.