Types of Slopes

Front

What is a Positive Slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases. It is represented graphically as a line that rises from left to right.

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What is a Negative Slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases. It is represented graphically as a line that falls from left to right.

Front

What is a Zero Slope?

Back

A zero slope indicates that there is no change in the y-value as the x-value changes. It is represented graphically as a horizontal line.

Front

What is an Undefined Slope?

Back

An undefined slope occurs when a vertical line is drawn, meaning the x-value does not change while the y-value does. It is represented graphically as a vertical line.

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Example of a Positive Slope:

Back

The line representing the equation y = 2x + 1 has a positive slope of 2.

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Example of a Negative Slope:

Back

The line representing the equation y = -3x + 4 has a negative slope of -3.

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Example of a Zero Slope:

Back

The line representing the equation y = 5 has a zero slope, as it is a horizontal line.

Front

Example of an Undefined Slope:

Back

The line representing the equation x = 2 has an undefined slope, as it is a vertical line.

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How to identify a Positive Slope in a graph?

Back

Look for a line that rises from left to right.

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How to identify a Negative Slope in a graph?

Back

Look for a line that falls from left to right.