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 a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

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

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What does the slope of a graph represent?

Back

The slope of a graph represents the rate of change between the two variables plotted on the graph.

Front

How is slope calculated from two points on a graph?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the slope of a line that rises 40 units for every 1 unit it runs?

Back

The slope of the line is 40.

Front

If a graph shows a constant increase of 25 words per minute, what is the slope?

Back

The slope is 25 words per minute.

Front

What is the unit rate for rainfall measured at 4 cm over 2 hours?

Back

The unit rate is 2 cm per hour.

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.

Front

What does a negative slope indicate?

Back

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