Any equations of the form Ax+By+C=0, where A and B are not zero simultaneously is a general solution of a line .
Slope intercept form : General equation is
Ax+By+C=0 which can be written as ,
y=(−AB)x+(−cB), if B≠0
This is of the form y=mx+c
∴ slope of the line =m=−AB
=c=−CB