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Linear EquationsA linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Linear equations have the general form:[ ax + b = 0 ]Where:( x ) is the variable.( a ) and ( b ) are constants.( a
eq 0 ) (otherwise, it wouldn't be a linear equation)
( x \leq 2 )Graphical RepresentationLinear Equations: When graphed, a linear equation in two variables (e.g., ( y = mx + c )) forms a straight line.Linear Inequalities: When graphed, a linear inequality in two variables will represent a region of the coordinate plane, often shaded to indicate all possible solutions. The boundary of this region is the line corresponding to the associated linear equation.Important Points:For inequalities, if you multiply or divide by a negative number, you must flip the inequality sign.Solution set: For equations, the solution is a specific value (or values) of the variable. For inequalities, the solution is a range of values.
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