Slope - Proportional Relationships

Front

What is slope in a graph?

Back

Slope is a measure of the steepness of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

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/hour.

Front

How do you find the slope of a line given two points?

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is a rate of change?

Back

Rate of change describes how one quantity changes in relation to another quantity. It is often expressed as a ratio.

Front

If a graph shows 2 boys for every 1 girl, what is the slope?

Back

The slope is 2, indicating that for every 1 unit increase in girls, there is a 2 unit increase in boys.

Front

What does it mean if the slope is negative?

Back

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

Front

How can you interpret a slope of 4/3?

Back

A slope of 4/3 means that for every 3 units you move horizontally, you move 4 units vertically.

Front

What is the formula for calculating slope?

Back

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