Question

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

Answer 1

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

⇒ $y = \frac{-a}{b}x +\frac{-c}{a}$

Now comparing this equation with standard equation. We get,

 $m =\frac{-a}{b}$

and $c = \frac{-c}{a}$

Hence, Intercept =  $c =\frac{-c}{a}$ for line ax + by + c = 0.