Unit rate/slope/ rate of change

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is the rate of change?

Back

The rate of change describes how a quantity changes in relation to another quantity, often represented as the slope of a line.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in the y-value 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 does not have a defined change in x.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Tags

CCSS.8.EE.B.5

Front

What is the unit rate of 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour, calculated as 120 miles / 2 hours.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you interpret a slope of -5/3?

Back

A slope of -5/3 indicates that for every 3 units you move to the right on the x-axis, the line moves down 5 units on the y-axis.

Tags

CCSS.8.EE.B.5