Linear Relationships

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

How is slope calculated between two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

What is the meaning of 'rise' in the context of slope?

Back

'Rise' refers to the change in the y-coordinate between two points.

Tags

CCSS.8.EE.B.5

Front

What is the meaning of 'run' in the context of slope?

Back

'Run' refers to the change in the x-coordinate between two points.

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

For every 1 unit of rise, there are 2 units of run.

Tags

CCSS.8.EE.B.5

Front

How do you interpret a slope of 3/2?

Back

For every 3 units of rise, there are 2 units of run.

Tags

CCSS.8.EE.B.5