Identifying Types of Slope

Front

What is the definition of slope in mathematics?

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.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it represents an infinite change in y for no change in x.

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

Front

What is the significance of a slope of 1?

Back

A slope of 1 indicates that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle line.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a slope is greater than 1?

Back

If a slope is greater than 1, it indicates a steep incline, meaning the y-value increases more than the x-value for each unit.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a slope is less than 1 but greater than 0?

Back

If a slope is less than 1 but greater than 0, it indicates a gentle incline, meaning the y-value increases but at a slower rate than the x-value.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between slope and rate of change?

Back

Slope represents the rate of change between two variables; a steeper slope indicates a greater rate of change.

Tags

CCSS.8.EE.B.5