Slope/Unit Rate Practice

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 vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it does not have a defined ratio of vertical change to horizontal change.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If you travel 150 miles in 3 hours, what is your unit rate in miles per hour?

Back

50 miles per hour.

Front

How do you find the unit rate from a total cost and quantity?

Back

Unit rate = Total cost / Quantity.

Front

If a car uses 12 gallons of gas to travel 300 miles, what is the unit rate in miles per gallon?

Back

25 miles per gallon.