Slope from a Graph Practice

Front

What is the definition of slope in the context of a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope from two points on a graph?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate about a relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about a relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, dollars per item).

Front

How can you determine the unit rate from a word problem?

Back

To determine the unit rate, divide the total quantity by the number of units to find the rate per one unit.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change in various contexts, such as speed, cost per item, or any other scenario where one quantity changes in relation to another.

Front

In the context of the questions provided, what does a slope of 15 ft/min represent?

Back

A slope of 15 ft/min represents the rate at which the scuba diver is descending, indicating that for every minute, the diver descends 15 feet.

Front

If Corbin can shoot 24 baskets in 3 minutes, what is his unit rate?

Back

Corbin's unit rate is 8 baskets per minute, calculated by dividing 24 baskets by 3 minutes.

Front

What is the slope of a line that represents a pool filling at 25 gallons per minute?

Back

The slope of the line would be 25 gallons/minute, indicating the rate at which the pool is filling.