Slope - Unit Rate

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 change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Tags

CCSS.8.EE.B.5

Front

How do you calculate the unit rate from a ratio?

Back

To find the unit rate, divide the numerator by the denominator. For example, if a car travels 150 miles in 3 hours, the unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does a slope of 0 represent in a graph?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the vertical direction as the horizontal direction changes.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a relationship?

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 about a relationship?

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

If Leslie paid $12 for 2 shirts, what is the unit rate per shirt?

Back

The unit rate is $12 ÷ 2 shirts = $6 per shirt.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate if a pool fills at 25 gallons per minute?

Back

The unit rate is 25 gallons per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Tags

CCSS.8.EE.B.5

Front

If Ryan buys 15 lunches for $33.75, what is the average cost per lunch?

Back

The average cost per lunch is $33.75 ÷ 15 lunches = $2.25 per lunch.

Tags

CCSS.6.NS.B.3

Front

What is the formula for calculating slope?

Back

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

Tags

CCSS.8.EE.B.5