Key Features of Linear Equations

Front

What is a linear equation?

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Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you find the x-intercept of a linear equation?

Back

Front

How do you find the y-intercept of a linear equation?

Back

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing when the y-values decrease as the x-values increase. This means the slope of the line is negative.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) is the y-intercept of the linear equation, where the line crosses the y-axis.

Front

What is the significance of the point (a, 0) in a linear equation?

Back

The point (a, 0) is the x-intercept of the linear equation, where the line crosses the x-axis.

Front

What does it mean for a graph to be positive?

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A graph is positive when the y-values are greater than zero for the corresponding x-values.

Front

What is the end behavior of a linear function?

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Front

What is the general form of a linear equation?

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