Types of Slopes

Front

What is the definition of 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 the definition of 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 as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant, and the slope cannot be calculated.

Front

How can you visually identify a positive slope on a graph?

Back

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

Front

How can you visually identify a negative slope on a graph?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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.