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.
An equation whereby letters represent real numbers and whose graph is a line.
a polynomial equation of the first degree
a first-degree equation, or one in which all the variables are only to the first power
an equation that has its's variables raised to the first
an equation which is constructed by equatingtwo linear functions
an equation which is constructed byequating two linear functions
an equation which is constructed by equating two linear function s
Linear equation in one variable can be written in the form ax = b, a 0. A linear equation in two variables can be written in the form ax + by = c.
a first degree equation; the equation of a line is usually put either in the form or
an equation whose graph on a coordinate grid is a line and that can be written in the form = mx
An equation whose graph is a line in which the set of points has the coordinates that satisfy the given equation.
an algebraic equation in which the variable quantity or quantities are in the first power only and the graph is a straight line [e.g., 20 = 2(w + 4) + 2w and y = 3x + 4].
An equation with solutions which lie on a straight line when graphed.
An equation whose graph is a line, that is, an equation that has a degree of one. e.g. y = 3x - 2
Any equation that can be written in the form Ax + By + C = 0 where A and B cannot both be 0. The graph of such an equation is a line.
An equation whose graph is a straight line.
in one variable can be written in the form Ax + B = C where A, B, and C are real numbers and A
An equation containing linear expressions.
An equation who's terms are a linear combination of a variable and its derivatives. Such an equation is in the form ) + ) + )' + )'' + ...(). No terms for y or its derivatives may be raised to a power or placed inside a function such as sin or ln[ edit] [ edit
An equation of the form y = ax + b, where a and b can be any real number. An equation of the first degree that contains one or more variables. A linear equation in two variables yields a straight line when displayed in graph form (e.g., 3x – 1 = –7 or x + 2y = 12).
A linear equation is an equation in which each term is either a constant or the product of a constant times the first power of a variable. Such an equation is equivalent to equating a first-degree polynomial to zero. These equations are called "linear" because they represent straight lines in Cartesian coordinates.