Types of Slope

Front

What is the definition of slope?

Back

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

Front

What does a positive slope indicate about a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing a direct relationship.

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

Front

What does a zero slope indicate?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y-values as x-values change.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x-values as y-values change.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What type of slope is represented by a line that rises from left to right?

Back

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

Front

What type of slope is represented by a line that falls from left to right?

Back

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

Front

What type of slope is represented by a horizontal line?

Back

A horizontal line has a slope of zero.

Front

What type of slope is represented by a vertical line?

Back

A vertical line has an undefined slope.