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).

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.

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.

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.

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.

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.

Front

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

Back

The unit rate is 25 gallons per minute.

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.

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.

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.