Types of Slopes

Front

What is the definition of a slope?

Back

The slope of a line is a measure of its steepness, usually represented as a ratio of the vertical change to the horizontal change between two points on the line.

Front

What type of slope is represented by a horizontal line?

Back

Zero Slope: A horizontal line has a slope of zero, indicating no vertical change as the horizontal distance changes.

Front

What type of slope is represented by a vertical line?

Back

Undefined Slope: A vertical line has an undefined slope because the horizontal change is zero, leading to division by zero.

Front

What is the slope of a line that rises from left to right?

Back

Positive Slope: A line that rises from left to right has a positive slope, indicating that as the x-value increases, the y-value also increases.

Front

What is the slope of a line that falls from left to right?

Back

Negative Slope: A line that falls from left to right has a negative slope, indicating that as the x-value increases, the y-value decreases.

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Back

Front

Back

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and there is no vertical change as the horizontal distance changes.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates an inverse relationship: as x increases, y decreases.

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates a direct relationship: as x increases, y also increases.