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?

Back

The slope of a line is found by taking the difference in the y-coordinates divided by the difference in the x-coordinates between two points on the line.

Front

What does a slope of 7/5 indicate?

Back

A slope of 7/5 indicates that for every 5 units you move horizontally to the right, you move 7 units up.

Front

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

Back

The constant rate of change is the same as the slope and represents how much one quantity changes for a unit change in another quantity.

Front

What does it mean for a table of values to be proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

What is the significance of the point (0,0) in a proportional graph?

Back

The point (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

What type of line represents a proportional relationship on a graph?

Back

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

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.

Front

What is the formula for slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

If a line has a slope of -3/2, what does this mean?

Back

A slope of -3/2 means that for every 2 units you move to the right, you move 3 units down.