8th Grade - Functions Review

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What is a linear function?

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What does the slope of a linear function represent?

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The slope of a linear function represents the rate of change of the function. It indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

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What is the y-intercept of a function?

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The y-intercept is the point where the graph of a function intersects the y-axis. It represents the value of the function when the independent variable (x) is zero.

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How do you find the slope from a graph?

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To find the slope from a graph, select two points on the line, calculate the change in y (rise) and the change in x (run), and use the formula: slope = rise/run.

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What does a positive slope indicate about a linear function?

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A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases, showing a direct relationship.

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What does a negative slope indicate about a linear function?

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A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases, showing an inverse relationship.

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What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

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The formula for calculating the slope is: slope = (y2 - y1) / (x2 - x1).

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What does the slope of a weight loss graph represent?

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The slope of a weight loss graph represents the rate of weight loss per week, indicating how many pounds are lost each week.

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How do you interpret the y-intercept in a real-world context?

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The y-intercept in a real-world context often represents a starting value or initial condition before any changes occur.