Definitions for "Linear equation"
an equation in one or two variables with no exponents other than one and with no products of the variables; for example, y = x + 4, x = -4, and 3x - 4y = 1/2 are linear equations; in a rectangular coordinate system, the graph of a linear equation is a line (see also nonlinear equation)
An equation of the form y = ax + b, where a and b can be any real number. When the ordered pairs (x, y) that make the equation true for specific assigned values of a and b are graphed, the result is a straight line.
An equation in which no variable is raised to a power greater than or less than one.
a relation of the form, where is to be considered as the unknown