Review CP4 Dec 11

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What is a system of linear equations?

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A system of linear equations is a set of two or more linear equations with the same variables.

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What does it mean if two lines in a system of equations have different slopes?

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It means the system has exactly one solution, where the lines intersect.

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How do you determine the solution to a system of equations graphically?

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The solution is found at the point where the graphs of the equations intersect.

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

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The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

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It represents a straight line in the coordinate plane.

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What does it mean if a system of equations has no solutions?

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It means the lines are parallel and never intersect.

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What is the meaning of 'infinitely many solutions' in a system of equations?

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It means the equations represent the same line, so every point on the line is a solution.