Slope: Mixed Review

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the rise (change in y) to the run (change in x).

Front

What is the formula to calculate slope?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no change in x as y changes.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units (e.g., total customers by total hours).

Front

What is the unit rate of 120 customers in 6 hours?

Back

20 customers per hour.

Front

How can you determine the constant rate of change from a table of values?

Back

Calculate the difference in y-values divided by the difference in x-values for any two points.

Front

If a store earns $500 for every 8 hours worked, what is the rate of earnings per hour?

Back

$62.50 per hour.