Identifying 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.

Front

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 does a Slope of 0 mean?

Back

A slope of 0 means that there is no change in the y-value as the x-value changes. This is represented graphically as a horizontal line.

Front

What is an Undefined Slope?

Back

An undefined slope occurs when a line is vertical. In this case, the x-value does not change, but the y-value can change.

Front

How do you identify a Positive Slope on a graph?

Back

A positive slope can be identified on a graph by observing that the line rises as it moves from left to right.

Front

How do you identify a Negative Slope on a graph?

Back

A negative slope can be identified on a graph by observing that the line falls as it moves from left to right.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean if a line has a slope of 0?

Back

If a line has a slope of 0, it means that the line is horizontal and there is no vertical change as the horizontal position changes.

Front

What does it mean if a line has an undefined slope?

Back

If a line has an undefined slope, it means that the line is vertical and there is no horizontal change as the vertical position changes.

Front

Give an example of a situation with a Positive Slope.

Back

An example of a positive slope is the relationship between time spent studying and test scores, where more study time generally leads to higher scores.