B Line Equations: Rearranging Ax + By + C = 0 to y=mx+b

[Einstein's Cat]

Say a line equation is expressed with the General equation of Ax + By + C = 0; can one just simply rearrage this into the form of y= mx + b?

 

[Nidum]

What ways of rearranging Ax + By + C = 0 into the form y= mx + b have you tried ?

 

[Einstein's Cat]

What ways of rearranging Ax + By + C = 0 into the form y= mx + b have you tried ?

I just made y the subject so that
Y= (-a/-b)x + (-c/-b); this may not be correct, I've just done it now

 

[mfb]

You can simplify the expression.
It doesn't work if b=0.

You can always perform all allowed operations on equations.

 

[Mark44]

Say a line equation is expressed with the General equation of Ax + By + C = 0; can one just simply rearrage this into the form of y= mx + b?

Vertical lines such as x = 2 are special cases of the general equation (A = 1, B = 0, C = -2), but can't be written in the slope-intercept form, since the slope is undefined. Any other line that isn't vertical can be written in either equation form.