Rise over Run

Front

What does 'rise over run' refer to in mathematics?

Back

It refers to the formula for calculating the slope of a line, where 'rise' is the change in the y-coordinate and 'run' is the change in the x-coordinate.

Front

How do you determine if a slope is positive, negative, or undefined?

Back

A slope is positive if it rises from left to right, negative if it falls from left to right, and undefined if the line is vertical.

Front

What is the formula for calculating the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line passes through the points (2, 4) and (6, 8), what is the slope?

Back

The slope is 1, calculated as (8 - 4) / (6 - 2).

Front

What does a slope of 2 indicate about the relationship between x and y?

Back

It indicates that for every 1 unit increase in x, y increases by 2 units.

Front

How can you interpret a negative slope in a real-world context?

Back

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

Front

What is the average rate of change, and how is it calculated?

Back

The average rate of change is calculated as the change in the dependent variable divided by the change in the independent variable over a specified interval.

Front

What does it mean if the average rate of change is 1.5 degrees F every hour?

Back

It means that for every hour that passes, the temperature increases by 1.5 degrees Fahrenheit.