Graphing 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 does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k'.

Front

How do you find the slope of a line?

Back

The slope of a line is found by taking the change in the y-values divided by the change in the x-values (rise over run).

Front

What is the formula for slope?

Back

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

Front

What does a slope of 7/5 indicate?

Back

A slope of 7/5 indicates that for every 5 units you move horizontally, the line rises 7 units vertically.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What does a negative slope indicate?

Back

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

Front

What is the meaning of 'rate of change'?

Back

Rate of change refers to how much one quantity changes in relation to another quantity.

Front

How can you identify a proportional graph?

Back

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

Front

What is the relationship between the slope and the constant of proportionality in a proportional relationship?

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality.