Slope - Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. For example, 60 miles per hour.

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 slope of 2 mean in a real-world context?

Back

A slope of 2 means that for every 1 unit increase in the x-direction, the y-value increases by 2 units.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

What does a slope of 0.5 represent in a graph?

Back

A slope of 0.5 means that for every 1 unit increase in the x-direction, the y-value increases by 0.5 units.

Front

What is the meaning of a negative slope?

Back

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

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

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

Back

The slope represents the rate of change between two quantities, such as speed or cost per item.

Front

If a car travels 128 miles using 4 gallons of gas, what is the slope of the graph representing this relationship?

Back

The slope is 32 miles per gallon.