Slope from a Graph Practice

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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, as there is no vertical change regardless of the horizontal change.

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 the horizontal change is 0, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

A slope of 1/2 means that for every 2 units of horizontal change (run), there is a 1 unit increase in vertical change (rise).

Tags

CCSS.8.EE.B.5

Front

How can you interpret a slope of -3/2 in a real-world context?

Back

A slope of -3/2 can be interpreted as a decrease of 3 units in the vertical direction for every 2 units of horizontal movement, indicating a decline.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a linear equation?

Back

In a linear equation of the form y = mx + b, the slope (m) represents the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

How does the slope affect the graph of a linear function?

Back

The slope determines the angle and direction of the line on the graph; steeper slopes indicate a greater rate of change.

Tags

CCSS.8.EE.B.5