Interpret Slope

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change between two variables, indicating how much one variable changes in relation to another.

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) or m = (y2 - y1) / (x2 - x1).

Front

If a sloth runs 6 feet in 1 minute, what is the slope of its speed?

Back

The slope is 6 feet per minute.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is the slope of a line that goes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

How do you interpret a slope of 0?

Back

A slope of 0 indicates that there is no change in the y-value as the x-value changes; the line is horizontal.

Front

What does the slope of a line represent in a graph of distance vs. time?

Back

The slope represents the speed or velocity of the object.

Front

If the cost of a service increases by $12 per hour, what does this slope represent?

Back

This slope represents the rate at which the total cost increases with each additional hour of service.

Front

What is the meaning of a slope of -5 in a real-world scenario?

Back

A slope of -5 indicates that for every unit increase in x, the value of y decreases by 5 units.