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 a region in the coordinate plane that includes all the solutions to the inequality.

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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 which side of the line to shade when graphing a linear inequality?

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To determine which side to shade, pick a test point not on the line (commonly (0,0)). Substitute the coordinates into the inequality. If the inequality holds true, shade the side containing the test point; otherwise, shade the opposite side.

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The slope of -1/2 indicates that for every 2 units you move to the right on the x-axis, you move down 1 unit on the y-axis.