Number of Solutions

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What is the definition of a linear equation?

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What does it mean if an equation has no solution?

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An equation has no solution if there are no values of the variable that satisfy the equation. This often occurs when the two sides of the equation represent parallel lines that never intersect.

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions if every value of the variable satisfies the equation. This occurs when the two sides of the equation are equivalent, representing the same line.

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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. 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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