Types of Slope

Front

What is a positive slope?

Back

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

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

Front

What does an undefined slope represent?

Back

An undefined slope occurs in vertical lines where the x-value remains constant, leading to no change in y-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 horizontal line?

Back

The slope of a horizontal line is zero, indicating no change in y-value as x-value changes.

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 type of slope does a line that is perfectly vertical have?

Back

A perfectly vertical line has an undefined slope.

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 position changes.

Front

In which scenarios would you encounter a positive slope?

Back

You would encounter a positive slope in scenarios where there is a direct relationship between two variables, such as distance over time when moving forward.