The phrase "linear equation" takes its origin in this correspondence between lines and equations: a linear equation in two variables is an equation whose solutions form a line. If b ≠ 0, the line is the graph of the function of x that has been defined in the preceding section.
Illustrated definition of Linear Equation: An equation that makes a straight line when it is graphed. Often written in the form...
Linear equation definition, a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system. See more.
linear equation n. An algebraic equation, such as y = 2x + 7 or 3x + 2y - z = 4, in which the highest degree term in the variable or variables is of the first degree. The graph of such an equation is a straight line if there are two variables. linear equation n (Mathematics) a polynomial equation of the first degree, such as x + y = 7 lin′ear equa ...
A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
A system of linear equations can come in handy when we come across problems where we have more than one quantity to find. In this lesson, we'll learn how to define a system of linear equations and ...
Linear equation definition is - an equation of the first degree in any number of variables.
linear equation definition: The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. (noun) An example of linear equation is y=mx + b....
A system of linear equations behave differently from the general case if the equations are linearly dependent, or if it is inconsistent and has no more equations than unknowns. Properties Independence. The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are ...
The equation of a straight line can be written in many other ways. Another popular form is the Point-Slope Equation of a Straight Line. Footnote. Country Note: Different Countries teach different "notation" (as sent to me by kind readers): In the ...