How Many Solutions? Linear Equations

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What is a linear equation?

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What does it mean if a linear equation has one solution?

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It means that there is exactly one value for the variable that makes the equation true, resulting in one point of intersection on a graph.

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What does it mean if a linear equation has no solution?

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It means that there is no value for the variable that can satisfy the equation, resulting in parallel lines that never intersect.

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What does it mean if a linear equation has infinite solutions?

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It means that any value for the variable will satisfy the equation, resulting in the same line represented in different forms.

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How can you determine if a linear equation has no solution?

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How can you determine if a linear equation has infinite solutions?

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

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

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The slope indicates the steepness of the line and the direction it goes (positive slope goes up, negative slope goes down).

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What is the y-intercept in a linear equation?

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x = 1 (one solution).