Linear Equation & Inequality in Two Variables

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What is a linear equation in two variables?

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What is a linear inequality in two variables?

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How do you graph a linear equation?

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To graph a linear equation, find at least two points that satisfy the equation, plot them on a coordinate plane, and draw a straight line through these points.

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

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How can you determine if a point is a solution to a system of inequalities?

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To determine if a point is a solution to a system of inequalities, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

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What is the solution set of a linear inequality?

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The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality, represented graphically as a shaded region on the coordinate plane.

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What is the significance of the slope in a linear equation?

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The slope of a linear equation indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

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What is the y-intercept in a linear equation?

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