Linear Function
(1) In geometry, a linear function is a function of the form y = m x + b. (2) In calculus, a linear function is a function whose graph is a straight line. (3) In linear algebra, a linear function is a function that satisies f(x + y) = f(x) + f(y) and f(a x) = a f(x).
Linear function is a high school-level concept that would be first encountered in a geometry course.
Prerequisites
Line: | A line is the infinite extension in both directions of a line segment, giving the path of shortest distance between two points in Euclidean space. |
Linear Algebra: | Linear algebra is study of linear systems of equations and their transformation properties. |