Understanding Slope and Proportional Relationships

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the rise (change in y) over the run (change in x).

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y 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?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and there is no change in y as x 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 because the run (change in x) is 0.

Tags

CCSS.8.EE.B.5

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Tags

CCSS.7.RP.A.2A

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5