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, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you find the slope of a line?

Back

The slope of a line is found by taking the difference in the y-coordinates and dividing it by the difference in the x-coordinates of two points on the line (m = (y2 - y1) / (x2 - x1)).

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 the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope is m = (y2 - y1) / (x2 - x1).

Front

If a car travels 120 miles in 2 hours, what is the unit rate?

Back

The unit rate is 60 miles per hour.

Front

What is the slope of a line with coordinates (1, 3) and (4, 9)?

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.