positive negative slope

Front

What is the definition of 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 the definition of 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 change in x is zero, making the slope calculation impossible.

Front

What does a zero slope represent?

Back

A zero slope indicates a horizontal line where the y-value remains constant as the x-value changes.

Front

How can you determine if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive; if it falls from left to right, the slope is negative.

Front

What is the formula for calculating the slope of a line?

Back

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

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is zero.

Front

How does the steepness of a line relate to its slope?

Back

The steeper the line, the greater the absolute value of the slope; a steeper positive slope indicates a faster increase, while a steeper negative slope indicates a faster decrease.

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.