Unit 3 Vocabulary Algebra II Linear Functions

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Direct Variation

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A relationship between two variables in which one is a constant multiple of the other. The two variables are 0 at the same time.

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Slope

Back

The measure of the steepness or incline of a line, represented as the ratio of the rise to the run between two points on the line.

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Average Rate of Change

Back

The change in the y divided by the change in the x

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Independent Variable

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The input variable of a function; it is manipulated or changed by the researcher in an experiment to observe its effect on the dependent variable.

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Dependent Variable

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The output variable of a function, it represents a quantity whose value depends on how the independent variable is manipulated.

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Linear Function

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A function that creates a straight line when graphed; the highest exponent on the variable is 1.

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Slope-Intercept Form

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A way of writing the equation of a line so that the slope and y-intercept are immediately apparent, y = mx + b.

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Point-Slope Form

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A way of writing the equation of a line using the slope and a point on the line, y - y1 = m(x - x1).

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Perpendicular Lines

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Lines that intersect at a right angle (90 degrees) whose slopes are negative reciprocals.

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Constant of Variation

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The constant k in direct and inverse variation equations, representing the ratio of the two variables.