Types of Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, leading to an infinite change in the y-value.

Front

How do you calculate slope?

Back

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 type of slope does a line that rises from left to right have?

Back

A line that rises from left to right has a positive slope.

Front

What type of slope does a line that falls from left to right have?

Back

A line that falls from left to right has a negative slope.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a zero slope.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.