Slope/Unit Rate

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 'x per 1 unit'.

Front

How do you calculate the slope of a line?

Back

The slope of a line is calculated by taking the difference in the y-coordinates divided by the difference in the x-coordinates between two points on the line.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What is the slope of a line that rises 4 units for every 3 units it runs?

Back

The slope is 4/3.

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope of a line that falls 2 units for every 5 units it runs?

Back

The slope is -2/5.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run between those points.

Front

What is the slope of a line that rises 1 unit for every 2 units it runs?

Back

The slope is 1/2.

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

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