 Linear function (calculus)

A linear function is a type of mathematical function that represents a straight line when graphed on a coordinate plane. In calculus, as well as in algebra, linear functions are defined by the equation of the form: \[ f(x) = mx + b \] Here: - \( f(x) \) is the value of the function at \( x \). - \( m \) is the slope of the line, which indicates how steep the line is.