5.6 Transforming Linear Equations

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Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x = 0.

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Back

Front

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It is less steep than the parent graph.

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Back

Front

What is the general form of a linear equation?

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Front

How do you determine if a linear function is increasing or decreasing?

Back

If the slope (m) is positive, the function is increasing; if negative, it is decreasing.

Front

What effect does a slope of 0 have on a linear graph?

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of x.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

How can you identify the steepness of a line from its slope?

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The larger the absolute value of the slope, the steeper the line.