The two main forms are the slope (or gradient) intercept form: y = mx + c
or the general form ax + by + c = 0
The first form has key information about the equation readily available but the second is more easily generalised to 3 or more dimensions.
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Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are a small minority of functions.
Most functions are not like linear equations.
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.