Question

Is `Ax+B=C` a linear equation?

Answer 1

No. Ax+B=C is not a linear equation because the equation of a line must have two variables, x and y.

Explanation:

Ax+B=C is an algebra problem, where `x=(C-B)/A`. There is a very similar equation which IS a linear equation. It is the general form of a line: `Ax+By=C`. This form is generally regarded by students (including myself) as useless for most things, as it tells you nothing about the line itself. The only thing you should know about general form is how to switch it into a more useful form, such as slope intercept. A good video on that is here: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form