Types of Slopes

Front

What is a positive slope?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend on a graph.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend on a graph.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where the y-value remains constant regardless of the x-value.

Front

How can you identify a positive slope on a graph?

Back

A positive slope can be identified by a line that rises from left to right.

Front

How can you identify a negative slope on a graph?

Back

A negative slope can be identified by a line that falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero.

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 a slope of 1 indicate?

Back

A slope of 1 indicates that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle line.

Front

What does a slope of -1 indicate?

Back

A slope of -1 indicates that for every unit increase in x, there is a corresponding unit decrease in y, resulting in a line that falls at a 45-degree angle.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, growth, or decline in various contexts like economics, physics, and biology.