Answer:
The slope of given line is -a/b.
Step-by-step explanation:
The given equation is
[tex]ax+by+c=0[/tex]
where, a, b and c are any real number.
The slope intercept form of a line is
[tex]y=mx+p[/tex] .... (1)
where, m is slope and p is y-intercept.
First write the given equation in set slope intercept form.
Subtract ax and c from both sides.
[tex]by=-ax-c[/tex]
Divide both sides by b.
[tex]y=\frac{-ax-c}{b}[/tex]
[tex]y=-\frac{a}{b}x-\frac{c}{b}[/tex] .... (2)
On comparing (1) and (2) we get
[tex]m=-\frac{a}{b}[/tex]
[tex]p=-\frac{c}{b}[/tex]
Therefore the slope of given line is -a/b.
