Writing Linear Equations/Inequalities & Systems

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What is a linear equation?

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What does the slope of a line represent?

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The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

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What is the y-intercept in a linear equation?

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How do you write a system of equations?

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What is the solution to a system of equations?

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The solution to a system of equations is the point(s) where the equations intersect on a graph. It represents the values of the variables that satisfy all equations in the system.

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What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. It uses symbols like <, >, ≤, or ≥.

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How do you graph a linear inequality?

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To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line (depending on whether the inequality is strict or inclusive). Then shade the region that satisfies the inequality.

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What is the difference between a linear equation and a linear inequality?

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What does it mean to solve a system of equations graphically?

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Solving a system of equations graphically means finding the point(s) where the graphs of the equations intersect. This point(s) represents the solution to the system.

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What is the substitution method in solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.