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 is constant.

Front

How do you find the slope of a line on a graph?

Back

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

Front

What does a slope of 7/5 indicate about a line?

Back

A slope of 7/5 indicates that for every 5 units the line moves horizontally, it moves 7 units vertically.

Front

What is the constant rate of change in a proportional relationship?

Back

The constant rate of change in a proportional relationship is the same as the slope, representing how much one quantity changes in relation to another.

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What does it mean if a relationship is described as non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

What is the significance of the y-intercept in a graph of a proportional relationship?

Back

In a proportional relationship, the y-intercept is always zero, indicating that when the independent variable is zero, the dependent variable is also zero.

Front

How can you identify the slope from a table of values?

Back

To identify the slope from a table, calculate the change in y divided by the change in x between two points.

Front

What does a slope of 3/2 indicate about a line?

Back

A slope of 3/2 indicates that for every 2 units the line moves horizontally, it moves 3 units vertically.

Front

What is the formula for calculating slope?

Back

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