red and white kop! said:if all parameters are 0 then the result is 0=0 This equation contains no variables, so it cannot define a line.
if a and b are 0 then the result is c=0 Since c is non-zero, this equation is never true, so there is no line.
if a is 0 then the result is by=-c, which is a horizontal line Correct.
if b is 0 then the result is a vertical line Correct.
and then of course there is if a and c are 0 and if b and c are 0 but the truth is i just dont know what to conclude from these results
Then try some Real numbers for these last two cases, and see what happens. It takes only a few moments, to experiment.
a = 0
b = 1
c = 0
a = 1
b = 0
c = 0