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What does it mean for an equation to have infinitely many solutions?

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An equation has infinitely many solutions when there are countless values that satisfy the equation, often occurring when two expressions are equivalent for all values of the variable.

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What is a linear function?

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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 of the relationship between the variables. A positive slope means the line rises, while a negative slope means it falls.

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How do you determine if an equation has one solution?

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An equation has one solution if it can be simplified to a form where the variable equals a specific value, indicating a unique intersection point on a graph.

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What is the process to solve for a variable in an equation?

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To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to maintain equality.

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What does it mean for a function to be nonlinear?

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A nonlinear function is a function that does not form a straight line when graphed, often involving variables raised to a power other than one or products of variables.

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What is the equation of a line in slope-intercept form?

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How can you identify a nonlinear function from a set of functions?

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A nonlinear function can be identified by its graph not being a straight line or by its equation containing variables raised to powers other than one or multiplied together.

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What is the meaning of the y-intercept in a linear equation?

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