Question

How do you find the slope intercept form of an equation?

Answer 1

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

⇒
`y = (-a)/(b)x +(-c)/(a)`

Now comparing this equation with standard equation. We get,

`m =(-a)/(b)`

and
`c = (-c)/(a)`

Hence, Intercept =
`c =(-c)/(a)` for line ax + by + c = 0.