Nonproportional Relationships

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio of one quantity to the other is not constant.

Front

What is the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you identify a nonproportional relationship from a table of values?

Back

A nonproportional relationship can be identified if the ratios of corresponding values are not the same.

Front

What does it mean if a graph is not a straight line?

Back

If a graph is not a straight line, it indicates that the relationship between the variables is nonproportional.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x.

Front

How can you find the slope from two points on a line?

Back

The slope can be found using the formula: (y2 - y1) / (x2 - x1).

Front

What is an example of a nonproportional relationship in real life?

Back

An example is the relationship between the number of hours worked and the total pay when there is a fixed salary plus overtime.

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the term 'constant rate of change' refer to?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another, typical of proportional relationships.

Front

How can you tell if a relationship is proportional from a graph?

Back

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