Answer:
The equation of line can be written as,
y = mx + c
where, m is slope
and c is intercept of line.
Now, Suppose we have equation: ax + by + c = 0
So, transforming the given equation in above standard equation.
⇒ by = -ax - c
⇒ [tex]y = \frac{-a}{b}x +\frac{-c}{a}[/tex]
Now comparing this equation with standard equation. We get,
[tex]m =\frac{-a}{b}[/tex]
and [tex]c = \frac{-c}{a}[/tex]
Hence, Intercept = [tex]c =\frac{-c}{a}[/tex] for line ax + by + c = 0.
