Linear Inequalities in Two Variables

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What is a linear inequality in two variables?

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What does the graph of a linear inequality represent?

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The graph of a linear inequality represents all the solutions (ordered pairs) that satisfy the inequality, typically shown as a shaded region on one side of a boundary line.

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What is the difference between a solid line and a dashed line in graphing inequalities?

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How do you determine if a point is a solution to a linear inequality?

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To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

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What is the slope-intercept form of a linear equation?

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How do you graph a linear inequality?

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What is the significance of the y-intercept in a linear inequality?

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The y-intercept is the point where the line crosses the y-axis, and it helps in graphing the inequality by providing a starting point.

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How can you tell which side of the line to shade when graphing an inequality?

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You can test a point not on the line (commonly (0,0)) in the inequality. If the inequality is true, shade the side containing that point; if false, shade the opposite side.