A function whose graph is a straight line graph (example) A "function" is a relation in which each element in the domain is matched with only one element of the range If y = f(x) we call y the dependent variable and x the independent variable. A function can be specified: numerically: by means of a table algebraically: by means of a formula graphically: by means of a graph

The equation of a straight line. A linear equation is of the form y=mx+b, in which y varies "linearly" with x. In this equation, m determines the slope of the line and b reflects the y-intercept, the value y obtains when x equals zero.

a function whose graph consists of segments of one straight line throughout its domain

a mathematical function of a certain form

A function with no exponents other than one and with no products of the variables (e.g., y=x+4, y= -4, and 3x-4y = 1/2 are linear functions); in a rectangular coordinate system, the graph of a linear function is a line.

A function whose general equation is y = mx + b, where m and b stand for constants, and m = 0.

a function whose control flow contains no loops

A function that can be written in the form () = mx + ; equivalently, a function whose graph is a line.

A function that has a constant rate of change.

A polynomial function of degree one, the graph of which is a straight line. For example: f(x) = a 1 a x, where a and a are constants

A function of the form f(x) = mx + b where m and b are some fixed numbers. The names "m" and "b" are traditional. Functions of this kind are called "linear" because their graphs are straight lines.

A function, that when applied to consecutive whole numbers, generates a sequence with a constant difference between consecutive terms (Lesson 1.4).

A function is a linear function if and only if its domain is the set of all real numbers and its equation can be written in the form y = mx + b.

A linear function can refer to two slightly different concepts.