Question

Explain the difference between a linear equation and a quadratic equation?

Answer 1

Geometrically, a linear equation is a line, and a quadratic equation is a curve.

Answer 2

\[f(x)=mx+b\text{, where }m,b\in\mathbb{R}\text{ is a linear equation.}\]\[f(x)=ax^2+bx+c\text{, where }a,b,c\in\mathbb{R}\text{ is a quadratic equation.}\]

Answer 3

\[m \neq 0 \quad and \quad a \neq0\]

Answer 4

^ Very true.