Slope and 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 is constant.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

How can you determine if a graph is proportional?

Back

You can determine if a graph is proportional by checking if it is a straight line that passes through the origin.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

How do you calculate slope using rise/run?

Back

Slope = rise/run, where rise is the vertical change and run is the horizontal change between two points on the line.

Front

What is the slope of a line that rises 3 units and runs 1 unit?

Back

The slope is 3.

Front

What is the slope of a line that rises 2 units and runs 3 units?

Back

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 does a zero slope indicate?

Back

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